An Interpolation Problem for Conjugations II

Abstract Let %$\mathcal {H}%$ be a complex Hilbert space. In this note, we consider the following interpolation problem: characterize the class of pairs (P, Q) of positive operators on %$\mathcal {H}%$ satisfying %$CPC=Q%$ for some conjugation C on %${\mathcal {H}}%$. We give a solution to the probl...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Liu, Ting [verfasserIn] Xie, Xinyu Zhu, Sen

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Conjugations Weighted shifts Complex symmetric operators -normal operators

Anmerkung:	© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022

Übergeordnetes Werk:	Enthalten in: Mediterranean journal of mathematics - Basel : Birkhäuser, 2004, 19(2022), 4 vom: 18. Juni
Übergeordnetes Werk:	volume:19 ; year:2022 ; number:4 ; day:18 ; month:06

Links:	Volltext

DOI / URN:	10.1007/s00009-022-02080-9

Katalog-ID:	SPR047326980

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520			\|a Abstract Let %$\mathcal {H}%$ be a complex Hilbert space. In this note, we consider the following interpolation problem: characterize the class of pairs (P, Q) of positive operators on %$\mathcal {H}%$ satisfying %$CPC=Q%$ for some conjugation C on %${\mathcal {H}}%$. We give a solution to the problem in the case that P and Q are simultaneously diagonal operators. As an application, we give a concrete characterization for a (unilateral or bilateral) weighted shift to possess a generalized symmetry introduced by Ptak et al. (Electron. J Linear Algebra 36, 67–79, 2020).
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650		4	\|a -normal operators \|7 (dpeaa)DE-He213
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912			\|a GBV_ILN_281
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912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
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allfields	10.1007/s00009-022-02080-9 doi (DE-627)SPR047326980 (SPR)s00009-022-02080-9-e DE-627 ger DE-627 rakwb eng Liu, Ting verfasserin aut An Interpolation Problem for Conjugations II 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Let %$\mathcal {H}%$ be a complex Hilbert space. In this note, we consider the following interpolation problem: characterize the class of pairs (P, Q) of positive operators on %$\mathcal {H}%$ satisfying %$CPC=Q%$ for some conjugation C on %${\mathcal {H}}%$. We give a solution to the problem in the case that P and Q are simultaneously diagonal operators. As an application, we give a concrete characterization for a (unilateral or bilateral) weighted shift to possess a generalized symmetry introduced by Ptak et al. (Electron. J Linear Algebra 36, 67–79, 2020). Conjugations (dpeaa)DE-He213 Weighted shifts (dpeaa)DE-He213 Complex symmetric operators (dpeaa)DE-He213 -normal operators (dpeaa)DE-He213 Xie, Xinyu aut Zhu, Sen (orcid)0000-0001-9928-0273 aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 19(2022), 4 vom: 18. Juni (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:19 year:2022 number:4 day:18 month:06 https://dx.doi.org/10.1007/s00009-022-02080-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 19 2022 4 18 06
spelling	10.1007/s00009-022-02080-9 doi (DE-627)SPR047326980 (SPR)s00009-022-02080-9-e DE-627 ger DE-627 rakwb eng Liu, Ting verfasserin aut An Interpolation Problem for Conjugations II 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Let %$\mathcal {H}%$ be a complex Hilbert space. In this note, we consider the following interpolation problem: characterize the class of pairs (P, Q) of positive operators on %$\mathcal {H}%$ satisfying %$CPC=Q%$ for some conjugation C on %${\mathcal {H}}%$. We give a solution to the problem in the case that P and Q are simultaneously diagonal operators. As an application, we give a concrete characterization for a (unilateral or bilateral) weighted shift to possess a generalized symmetry introduced by Ptak et al. (Electron. J Linear Algebra 36, 67–79, 2020). Conjugations (dpeaa)DE-He213 Weighted shifts (dpeaa)DE-He213 Complex symmetric operators (dpeaa)DE-He213 -normal operators (dpeaa)DE-He213 Xie, Xinyu aut Zhu, Sen (orcid)0000-0001-9928-0273 aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 19(2022), 4 vom: 18. Juni (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:19 year:2022 number:4 day:18 month:06 https://dx.doi.org/10.1007/s00009-022-02080-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 19 2022 4 18 06
allfields_unstemmed	10.1007/s00009-022-02080-9 doi (DE-627)SPR047326980 (SPR)s00009-022-02080-9-e DE-627 ger DE-627 rakwb eng Liu, Ting verfasserin aut An Interpolation Problem for Conjugations II 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Let %$\mathcal {H}%$ be a complex Hilbert space. In this note, we consider the following interpolation problem: characterize the class of pairs (P, Q) of positive operators on %$\mathcal {H}%$ satisfying %$CPC=Q%$ for some conjugation C on %${\mathcal {H}}%$. We give a solution to the problem in the case that P and Q are simultaneously diagonal operators. As an application, we give a concrete characterization for a (unilateral or bilateral) weighted shift to possess a generalized symmetry introduced by Ptak et al. (Electron. J Linear Algebra 36, 67–79, 2020). Conjugations (dpeaa)DE-He213 Weighted shifts (dpeaa)DE-He213 Complex symmetric operators (dpeaa)DE-He213 -normal operators (dpeaa)DE-He213 Xie, Xinyu aut Zhu, Sen (orcid)0000-0001-9928-0273 aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 19(2022), 4 vom: 18. Juni (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:19 year:2022 number:4 day:18 month:06 https://dx.doi.org/10.1007/s00009-022-02080-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 19 2022 4 18 06
allfieldsGer	10.1007/s00009-022-02080-9 doi (DE-627)SPR047326980 (SPR)s00009-022-02080-9-e DE-627 ger DE-627 rakwb eng Liu, Ting verfasserin aut An Interpolation Problem for Conjugations II 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Let %$\mathcal {H}%$ be a complex Hilbert space. In this note, we consider the following interpolation problem: characterize the class of pairs (P, Q) of positive operators on %$\mathcal {H}%$ satisfying %$CPC=Q%$ for some conjugation C on %${\mathcal {H}}%$. We give a solution to the problem in the case that P and Q are simultaneously diagonal operators. As an application, we give a concrete characterization for a (unilateral or bilateral) weighted shift to possess a generalized symmetry introduced by Ptak et al. (Electron. J Linear Algebra 36, 67–79, 2020). Conjugations (dpeaa)DE-He213 Weighted shifts (dpeaa)DE-He213 Complex symmetric operators (dpeaa)DE-He213 -normal operators (dpeaa)DE-He213 Xie, Xinyu aut Zhu, Sen (orcid)0000-0001-9928-0273 aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 19(2022), 4 vom: 18. Juni (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:19 year:2022 number:4 day:18 month:06 https://dx.doi.org/10.1007/s00009-022-02080-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 19 2022 4 18 06
allfieldsSound	10.1007/s00009-022-02080-9 doi (DE-627)SPR047326980 (SPR)s00009-022-02080-9-e DE-627 ger DE-627 rakwb eng Liu, Ting verfasserin aut An Interpolation Problem for Conjugations II 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Let %$\mathcal {H}%$ be a complex Hilbert space. In this note, we consider the following interpolation problem: characterize the class of pairs (P, Q) of positive operators on %$\mathcal {H}%$ satisfying %$CPC=Q%$ for some conjugation C on %${\mathcal {H}}%$. We give a solution to the problem in the case that P and Q are simultaneously diagonal operators. As an application, we give a concrete characterization for a (unilateral or bilateral) weighted shift to possess a generalized symmetry introduced by Ptak et al. (Electron. J Linear Algebra 36, 67–79, 2020). Conjugations (dpeaa)DE-He213 Weighted shifts (dpeaa)DE-He213 Complex symmetric operators (dpeaa)DE-He213 -normal operators (dpeaa)DE-He213 Xie, Xinyu aut Zhu, Sen (orcid)0000-0001-9928-0273 aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 19(2022), 4 vom: 18. Juni (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:19 year:2022 number:4 day:18 month:06 https://dx.doi.org/10.1007/s00009-022-02080-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 19 2022 4 18 06
language	English
source	Enthalten in Mediterranean journal of mathematics 19(2022), 4 vom: 18. Juni volume:19 year:2022 number:4 day:18 month:06
sourceStr	Enthalten in Mediterranean journal of mathematics 19(2022), 4 vom: 18. Juni volume:19 year:2022 number:4 day:18 month:06
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Conjugations Weighted shifts Complex symmetric operators -normal operators
isfreeaccess_bool	false
container_title	Mediterranean journal of mathematics
authorswithroles_txt_mv	Liu, Ting @@aut@@ Xie, Xinyu @@aut@@ Zhu, Sen @@aut@@
publishDateDaySort_date	2022-06-18T00:00:00Z
hierarchy_top_id	394566831
id	SPR047326980
language_de	englisch
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author	Liu, Ting
spellingShingle	Liu, Ting misc Conjugations misc Weighted shifts misc Complex symmetric operators misc -normal operators An Interpolation Problem for Conjugations II
authorStr	Liu, Ting
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topic_title	An Interpolation Problem for Conjugations II Conjugations (dpeaa)DE-He213 Weighted shifts (dpeaa)DE-He213 Complex symmetric operators (dpeaa)DE-He213 -normal operators (dpeaa)DE-He213
topic	misc Conjugations misc Weighted shifts misc Complex symmetric operators misc -normal operators
topic_unstemmed	misc Conjugations misc Weighted shifts misc Complex symmetric operators misc -normal operators
topic_browse	misc Conjugations misc Weighted shifts misc Complex symmetric operators misc -normal operators
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	An Interpolation Problem for Conjugations II
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title_full	An Interpolation Problem for Conjugations II
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author_browse	Liu, Ting Xie, Xinyu Zhu, Sen
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title_sort	interpolation problem for conjugations ii
title_auth	An Interpolation Problem for Conjugations II
abstract	Abstract Let %$\mathcal {H}%$ be a complex Hilbert space. In this note, we consider the following interpolation problem: characterize the class of pairs (P, Q) of positive operators on %$\mathcal {H}%$ satisfying %$CPC=Q%$ for some conjugation C on %${\mathcal {H}}%$. We give a solution to the problem in the case that P and Q are simultaneously diagonal operators. As an application, we give a concrete characterization for a (unilateral or bilateral) weighted shift to possess a generalized symmetry introduced by Ptak et al. (Electron. J Linear Algebra 36, 67–79, 2020). © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022
abstractGer	Abstract Let %$\mathcal {H}%$ be a complex Hilbert space. In this note, we consider the following interpolation problem: characterize the class of pairs (P, Q) of positive operators on %$\mathcal {H}%$ satisfying %$CPC=Q%$ for some conjugation C on %${\mathcal {H}}%$. We give a solution to the problem in the case that P and Q are simultaneously diagonal operators. As an application, we give a concrete characterization for a (unilateral or bilateral) weighted shift to possess a generalized symmetry introduced by Ptak et al. (Electron. J Linear Algebra 36, 67–79, 2020). © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022
abstract_unstemmed	Abstract Let %$\mathcal {H}%$ be a complex Hilbert space. In this note, we consider the following interpolation problem: characterize the class of pairs (P, Q) of positive operators on %$\mathcal {H}%$ satisfying %$CPC=Q%$ for some conjugation C on %${\mathcal {H}}%$. We give a solution to the problem in the case that P and Q are simultaneously diagonal operators. As an application, we give a concrete characterization for a (unilateral or bilateral) weighted shift to possess a generalized symmetry introduced by Ptak et al. (Electron. J Linear Algebra 36, 67–79, 2020). © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022
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title_short	An Interpolation Problem for Conjugations II
url	https://dx.doi.org/10.1007/s00009-022-02080-9
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author2	Xie, Xinyu Zhu, Sen
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doi_str	10.1007/s00009-022-02080-9
up_date	2024-07-04T02:44:36.087Z
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In this note, we consider the following interpolation problem: characterize the class of pairs (P, Q) of positive operators on %$\mathcal {H}%$ satisfying %$CPC=Q%$ for some conjugation C on %${\mathcal {H}}%$. We give a solution to the problem in the case that P and Q are simultaneously diagonal operators. As an application, we give a concrete characterization for a (unilateral or bilateral) weighted shift to possess a generalized symmetry introduced by Ptak et al. (Electron. 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An Interpolation Problem for Conjugations II

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