Previous issue ·  Next issue ·  Most recent issue · All issues   
Home Overview Authors Editorial Contact Subscribe

Journal of Operator Theory

Volume 46, Issue 1, Summer 2001  pp. 123-137.

Operators on Hilbert $H^*$-modules

Authors Damir Bakic (1), and Boris Guljas (2)
Author institution: (1) Department of Mathematics, University of Zagreb, Bijenicka c. 30, 10000 Zagreb, Croatia
(2) Department of Mathematics, University of Zagreb, Bijenicka c. 30, 10000 Zagreb, Croatia


Summary:  Let $W$ be a Hilbert $H^*$-module over an $H^*$-algebra ${\cal E}$. We show that all bounded ${\cal E}$-linear operators on $W$ are reduced by a suitable Hilbert space contained in $W$. This enables us to de scribe bounded ${\cal E}$-linear operators by lifting the appropriate results fr om Hilbert space theory. In particular, generalized compact ${\cal E}$-linear operators are characterized.


Contents    Full-Text PDF