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Pregled bibliografske jedinice broj: 376000

Approximately orthogonality preserving mappings on C*-modules


Ilišević, Dijana; Turnšek, Aleksej
Approximately orthogonality preserving mappings on C*-modules // Journal of Mathematical Analysis and Applications, 341 (2008), 1; 298-308 doi:10.1016/j.jmaa.2007.10.028 (međunarodna recenzija, članak, znanstveni)


Naslov
Approximately orthogonality preserving mappings on C*-modules

Autori
Ilišević, Dijana ; Turnšek, Aleksej

Izvornik
Journal of Mathematical Analysis and Applications (0022-247X) 341 (2008), 1; 298-308

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Hilbert C*-module; approximate orthogonality; orthogonality preserving mapping; stability

Sažetak
We study orthogonality preserving and approximately orthogonality preserving mappings in the setting of inner product $C^*$-modules. In particular, if $V$ and $W$ are inner product $C^*$-modules over the $C^*$-algebra $\A, $ any $\A$-linear scalar multiple of an isometry is an $\A$-linear orthogonality preserving mapping. The converse does not hold in general, but it holds if $\A$ contains $\K(\H)$ (the $C^*$-algebra of all compact operators on a Hilbert space $\H$). Furthermore, we give the estimate of $\Vert \langle Tx, Ty \rangle - \Vert T \Vert^2 \langle x, y \rangle \Vert$ for an $\A$-linear approximately orthogonality preserving mapping $T : V \to W$ when $V$ and $W$ are inner product $C^*$-modules over a $C^*$-algebra containing $\K(\H)$. In the case $\A=\K(\H)$ and $V, $ $W$ are Hilbert, we also prove that an $\A$-linear approximately orthogonality preserving mapping can be approximated by an $\A$-linear orthogonality preserving mapping.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0372784-2757 - Preslikavanja na modulima nad prstenima, apstraktnim i operatorskim algebrama (Dijana Ilišević, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Dijana Ilišević, (228992)

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


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