Distance formulae and best approximation in the space of compact operators
We present several distance formulae in the space of compact operators in terms of extreme points and semi-inner-products. We characterize best approximation to an element out of a subspace and obtain a sufficient condition for unique best approximation. The usefulness of the results is demonstrated...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mal, Arpita [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: In silico drug repurposing in COVID-19: A network-based analysis - Sibilio, Pasquale ELSEVIER, 2021, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:509 ; year:2022 ; number:1 ; day:1 ; month:05 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.jmaa.2021.125952 |
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| 520 | |a We present several distance formulae in the space of compact operators in terms of extreme points and semi-inner-products. We characterize best approximation to an element out of a subspace and obtain a sufficient condition for unique best approximation. The usefulness of the results is demonstrated with examples. Finally, using the distance formulae we characterize approximate Birkhoff-James orthogonality of an element to a subspace in the space of compact operators. | ||
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10.1016/j.jmaa.2021.125952 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001637.pica (DE-627)ELV056440782 (ELSEVIER)S0022-247X(21)01034-9 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Mal, Arpita verfasserin aut Distance formulae and best approximation in the space of compact operators 2022 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We present several distance formulae in the space of compact operators in terms of extreme points and semi-inner-products. We characterize best approximation to an element out of a subspace and obtain a sufficient condition for unique best approximation. The usefulness of the results is demonstrated with examples. Finally, using the distance formulae we characterize approximate Birkhoff-James orthogonality of an element to a subspace in the space of compact operators. (approximate) Birkhoff-James orthogonality Elsevier Best approximation Elsevier Distance formulae Elsevier Banach space Elsevier Linear operators Elsevier Paul, Kallol oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:509 year:2022 number:1 day:1 month:05 pages:0 https://doi.org/10.1016/j.jmaa.2021.125952 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 509 2022 1 1 0501 0 |
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10.1016/j.jmaa.2021.125952 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001637.pica (DE-627)ELV056440782 (ELSEVIER)S0022-247X(21)01034-9 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Mal, Arpita verfasserin aut Distance formulae and best approximation in the space of compact operators 2022 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We present several distance formulae in the space of compact operators in terms of extreme points and semi-inner-products. We characterize best approximation to an element out of a subspace and obtain a sufficient condition for unique best approximation. The usefulness of the results is demonstrated with examples. Finally, using the distance formulae we characterize approximate Birkhoff-James orthogonality of an element to a subspace in the space of compact operators. (approximate) Birkhoff-James orthogonality Elsevier Best approximation Elsevier Distance formulae Elsevier Banach space Elsevier Linear operators Elsevier Paul, Kallol oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:509 year:2022 number:1 day:1 month:05 pages:0 https://doi.org/10.1016/j.jmaa.2021.125952 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 509 2022 1 1 0501 0 |
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10.1016/j.jmaa.2021.125952 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001637.pica (DE-627)ELV056440782 (ELSEVIER)S0022-247X(21)01034-9 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Mal, Arpita verfasserin aut Distance formulae and best approximation in the space of compact operators 2022 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We present several distance formulae in the space of compact operators in terms of extreme points and semi-inner-products. We characterize best approximation to an element out of a subspace and obtain a sufficient condition for unique best approximation. The usefulness of the results is demonstrated with examples. Finally, using the distance formulae we characterize approximate Birkhoff-James orthogonality of an element to a subspace in the space of compact operators. (approximate) Birkhoff-James orthogonality Elsevier Best approximation Elsevier Distance formulae Elsevier Banach space Elsevier Linear operators Elsevier Paul, Kallol oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:509 year:2022 number:1 day:1 month:05 pages:0 https://doi.org/10.1016/j.jmaa.2021.125952 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 509 2022 1 1 0501 0 |
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We present several distance formulae in the space of compact operators in terms of extreme points and semi-inner-products. We characterize best approximation to an element out of a subspace and obtain a sufficient condition for unique best approximation. The usefulness of the results is demonstrated with examples. Finally, using the distance formulae we characterize approximate Birkhoff-James orthogonality of an element to a subspace in the space of compact operators. |
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We present several distance formulae in the space of compact operators in terms of extreme points and semi-inner-products. We characterize best approximation to an element out of a subspace and obtain a sufficient condition for unique best approximation. The usefulness of the results is demonstrated with examples. Finally, using the distance formulae we characterize approximate Birkhoff-James orthogonality of an element to a subspace in the space of compact operators. |
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We present several distance formulae in the space of compact operators in terms of extreme points and semi-inner-products. We characterize best approximation to an element out of a subspace and obtain a sufficient condition for unique best approximation. The usefulness of the results is demonstrated with examples. Finally, using the distance formulae we characterize approximate Birkhoff-James orthogonality of an element to a subspace in the space of compact operators. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV056440782</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230624232010.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">220205s2022 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.jmaa.2021.125952</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">/cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001637.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV056440782</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0022-247X(21)01034-9</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">610</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">44.40</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mal, Arpita</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Distance formulae and best approximation in the space of compact operators</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">We present several distance formulae in the space of compact operators in terms of extreme points and semi-inner-products. 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