Pregled bibliografske jedinice broj: 67997
Wigner's theorem in Hilbert C*-modules over C*-algebras of compact operators
Wigner's theorem in Hilbert C*-modules over C*-algebras of compact operators // Proceedings of the American Mathematical Society, 130 (2002), 8; 2343-2349 doi:10.1090/S0002-9939-02-06426-2 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 67997 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Wigner's theorem in Hilbert C*-modules over C*-algebras of compact operators
Autori
Bakić, Damir ; Guljaš, Boris
Izvornik
Proceedings of the American Mathematical Society (0002-9939) 130
(2002), 8;
2343-2349
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
C*-algebra Hilbert C*-module compact operator Wigner's theorem
Sažetak
Let $W$ be a Hilbert \cez-module over the \cez-algebra \as of all compact operators on a Hilbert space. It is proved that any function $T: W \rightarrow W$ which preserves the absolute value of the \ass-valued inner product is of the form $Tv=\varphi(v)Uv, \, v \in W$, where $\varphi$ is a phase function and $U$ is an \ass-linear isometry. The result generalizes Moln\' ar's extension of Wigner's classical unitary-antiunitary theorem.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
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
