Naslov
On a class of module maps of Hilbert C*-modules

Autori
Bakić, Damir ; Guljaš, Boris

Izvornik
Mathematical communications (1331-0623) 7 (2002), 2; 177-192

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

Ključne riječi
Hilbert C*-module

Sažetak
The paper describes some basic properties of a class of module maps of Hilbert C*-modules. In Section 1 ideal submodules are considered and the canonical Hilbert C*-module structure on the quotient of a Hilbert C*-module over an ideal submodule is described. Given a Hilbert C*-module V, an ideal submodule , and the quotient , canonical morphisms of the corresponding C*-algebras of adjointable operators are discussed. In the second part of the paper a class of module maps of Hilbert C*-modules is introduced.Given Hilbert C*-modules V and W and a morphism of the underlying \cez-algebras, a map belongs to the class under consideration if it preserves inner products modulo : for all . It is shown that each morphism Φ of this kind is necessarily a contraction such that the kernel of Φ is an ideal submodule of V. A related class of morphisms of the corresponding linking algebras is also discussed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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