Finite rank perturbations of complex symmetric operators

A bounded linear operator A acting on a complex Hilbert space H is called complex symmetric if there exists a conjugation C on H such that C A C = A...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Amara, Zouheir [verfasserIn] Oudghiri, Mourad [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2020

Schlagwörter:	Normal operators Complex symmetric operators Perturbations

Übergeordnetes Werk:	Enthalten in: Journal of mathematical analysis and applications - Amsterdam [u.a.] : Elsevier, 1960, 495
Übergeordnetes Werk:	volume:495

DOI / URN:	10.1016/j.jmaa.2020.124720

Katalog-ID:	ELV004954378

Internformat


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245	1	0	\|a Finite rank perturbations of complex symmetric operators
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520			\|a A bounded linear operator A acting on a complex Hilbert space H is called complex symmetric if there exists a conjugation C on H such that C A C = A ⁎ . In this paper, we prove that a large class of rank-one perturbations of normal operators are complex symmetric. We show also that every operator A can be approximated by non-complex symmetric operators of the form A + F where F is a finite rank operator whose range can be controlled.
650		4	\|a Normal operators
650		4	\|a Complex symmetric operators
650		4	\|a Perturbations
700	1		\|a Oudghiri, Mourad \|e verfasserin \|0 (orcid)0000-0003-2091-8516 \|4 aut
773	0	8	\|i Enthalten in \|t Journal of mathematical analysis and applications \|d Amsterdam [u.a.] : Elsevier, 1960 \|g 495 \|h Online-Ressource \|w (DE-627)266886922 \|w (DE-600)1468566-8 \|w (DE-576)103373101 \|x 1096-0813 \|7 nnns
773	1	8	\|g volume:495
912			\|a GBV_USEFLAG_U
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912			\|a GBV_ILN_23
912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4367
912			\|a GBV_ILN_4393
912			\|a GBV_ILN_4700
936	b	k	\|a 31.00 \|j Mathematik: Allgemeines
951			\|a AR
952			\|d 495

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allfields	10.1016/j.jmaa.2020.124720 doi (DE-627)ELV004954378 (ELSEVIER)S0022-247X(20)30883-0 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Amara, Zouheir verfasserin aut Finite rank perturbations of complex symmetric operators 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A bounded linear operator A acting on a complex Hilbert space H is called complex symmetric if there exists a conjugation C on H such that C A C = A ⁎ . In this paper, we prove that a large class of rank-one perturbations of normal operators are complex symmetric. We show also that every operator A can be approximated by non-complex symmetric operators of the form A + F where F is a finite rank operator whose range can be controlled. Normal operators Complex symmetric operators Perturbations Oudghiri, Mourad verfasserin (orcid)0000-0003-2091-8516 aut Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 495 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:495 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 495
spelling	10.1016/j.jmaa.2020.124720 doi (DE-627)ELV004954378 (ELSEVIER)S0022-247X(20)30883-0 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Amara, Zouheir verfasserin aut Finite rank perturbations of complex symmetric operators 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A bounded linear operator A acting on a complex Hilbert space H is called complex symmetric if there exists a conjugation C on H such that C A C = A ⁎ . In this paper, we prove that a large class of rank-one perturbations of normal operators are complex symmetric. We show also that every operator A can be approximated by non-complex symmetric operators of the form A + F where F is a finite rank operator whose range can be controlled. Normal operators Complex symmetric operators Perturbations Oudghiri, Mourad verfasserin (orcid)0000-0003-2091-8516 aut Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 495 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:495 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 495
allfields_unstemmed	10.1016/j.jmaa.2020.124720 doi (DE-627)ELV004954378 (ELSEVIER)S0022-247X(20)30883-0 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Amara, Zouheir verfasserin aut Finite rank perturbations of complex symmetric operators 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A bounded linear operator A acting on a complex Hilbert space H is called complex symmetric if there exists a conjugation C on H such that C A C = A ⁎ . In this paper, we prove that a large class of rank-one perturbations of normal operators are complex symmetric. We show also that every operator A can be approximated by non-complex symmetric operators of the form A + F where F is a finite rank operator whose range can be controlled. Normal operators Complex symmetric operators Perturbations Oudghiri, Mourad verfasserin (orcid)0000-0003-2091-8516 aut Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 495 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:495 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 495
allfieldsGer	10.1016/j.jmaa.2020.124720 doi (DE-627)ELV004954378 (ELSEVIER)S0022-247X(20)30883-0 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Amara, Zouheir verfasserin aut Finite rank perturbations of complex symmetric operators 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A bounded linear operator A acting on a complex Hilbert space H is called complex symmetric if there exists a conjugation C on H such that C A C = A ⁎ . In this paper, we prove that a large class of rank-one perturbations of normal operators are complex symmetric. We show also that every operator A can be approximated by non-complex symmetric operators of the form A + F where F is a finite rank operator whose range can be controlled. Normal operators Complex symmetric operators Perturbations Oudghiri, Mourad verfasserin (orcid)0000-0003-2091-8516 aut Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 495 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:495 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 495
allfieldsSound	10.1016/j.jmaa.2020.124720 doi (DE-627)ELV004954378 (ELSEVIER)S0022-247X(20)30883-0 DE-627 ger DE-627 rda eng 510 DE-600 31.00 bkl Amara, Zouheir verfasserin aut Finite rank perturbations of complex symmetric operators 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A bounded linear operator A acting on a complex Hilbert space H is called complex symmetric if there exists a conjugation C on H such that C A C = A ⁎ . In this paper, we prove that a large class of rank-one perturbations of normal operators are complex symmetric. We show also that every operator A can be approximated by non-complex symmetric operators of the form A + F where F is a finite rank operator whose range can be controlled. Normal operators Complex symmetric operators Perturbations Oudghiri, Mourad verfasserin (orcid)0000-0003-2091-8516 aut Enthalten in Journal of mathematical analysis and applications Amsterdam [u.a.] : Elsevier, 1960 495 Online-Ressource (DE-627)266886922 (DE-600)1468566-8 (DE-576)103373101 1096-0813 nnns volume:495 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_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_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.00 Mathematik: Allgemeines AR 495
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author	Amara, Zouheir
spellingShingle	Amara, Zouheir ddc 510 bkl 31.00 misc Normal operators misc Complex symmetric operators misc Perturbations Finite rank perturbations of complex symmetric operators
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topic_title	510 DE-600 31.00 bkl Finite rank perturbations of complex symmetric operators Normal operators Complex symmetric operators Perturbations
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title	Finite rank perturbations of complex symmetric operators
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title_full	Finite rank perturbations of complex symmetric operators
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title_sort	finite rank perturbations of complex symmetric operators
title_auth	Finite rank perturbations of complex symmetric operators
abstract	A bounded linear operator A acting on a complex Hilbert space H is called complex symmetric if there exists a conjugation C on H such that C A C = A ⁎ . In this paper, we prove that a large class of rank-one perturbations of normal operators are complex symmetric. We show also that every operator A can be approximated by non-complex symmetric operators of the form A + F where F is a finite rank operator whose range can be controlled.
abstractGer	A bounded linear operator A acting on a complex Hilbert space H is called complex symmetric if there exists a conjugation C on H such that C A C = A ⁎ . In this paper, we prove that a large class of rank-one perturbations of normal operators are complex symmetric. We show also that every operator A can be approximated by non-complex symmetric operators of the form A + F where F is a finite rank operator whose range can be controlled.
abstract_unstemmed	A bounded linear operator A acting on a complex Hilbert space H is called complex symmetric if there exists a conjugation C on H such that C A C = A ⁎ . In this paper, we prove that a large class of rank-one perturbations of normal operators are complex symmetric. We show also that every operator A can be approximated by non-complex symmetric operators of the form A + F where F is a finite rank operator whose range can be controlled.
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title_short	Finite rank perturbations of complex symmetric operators
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up_date	2024-07-07T00:41:49.333Z
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In this paper, we prove that a large class of rank-one perturbations of normal operators are complex symmetric. 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Finite rank perturbations of complex symmetric operators

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