A characterization of Hilbert C*-modules over finite dimensional C*-algebras

izvorni znanstveni rad

izvorni znanstveni rad

A characterization of Hilbert C*-modules over finite dimensional C*-algebras

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2009
Časopis Operators and Matrices
Nadređena publikacija Operators and Matrices
Volumen 3
Svesčić 2
Stranice str. 235-240
DOI 10.7153/oam-03-14
ISSN 1846-3886
EISSN 1848-9974
Status objavljeno

Sažetak

We show that the unit ball of a full Hilbert C*-module is sequentially compact in a certain weak topology if and only if the underlying C*-algebra is finite dimensional. This provides an answer to the question posed in J. Chmielinski et al [Perturbation of the Wigner equation in inner product C*-modules, J. Math. Phys. 49 (2008), no. 3, 033519].

Ključne riječi

Hilbert C*-module ; finite dimensional C*-algebra ; C*-algebra of compact operators