25 citations · 114 across the 17 of their papers we have counts for
15 papers · 1 filter
A Riesz-Fredholm type theorem on certain Hilbert C*-modules
Zahra Panahi, Kamran Sharifi
Let be compact modular operator on a Hilbert C*-module satisfying property [{\it J. Math. Phys.} {\bf 49} (2008), 033519], and let . We prove the e…
Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules
Kamran Sharifi
In this paper, we introduce the notion of invariant submodule in the theory of Hilbert C*-modules and study some basic properties of bounded adjointable operators and their general…
Atiyah-Jänich theorem for -C*-algebras
Kamran Sharifi
K-theory for -C*-algebras (countable inverse limits of C*-algebras) has been investigated by N. C. Phillips [{\it K-Theory} {\bf 3} (1989), 441--478]. We use his representable…
Some remarks on derivations on the algebra of operators in Hilbert pro-C*-bimodules
Khadijeh Karimi, Kamran Sharifi
Suppose is a pro-C*-algebra. Let be the pro-C*-algebra of adjointable operators on a Hilbert -module and let be the closed two sided -ideal of a…
Completely positive maps on Hilbert modules over pro-C*-algebras
Khadijeh Karimi, Kamran Sharifi
We derive Paschke's GNS construction for completely positive maps on unital pro-C*-algebras from the KSGNS construction, presented by M. Joita [J. London Math. Soc. {\bf 66} (2002)…
Induced representations of Hilbert modules over locally C*-algebras and the imprimitivity theorem
Khadijeh Karimi, Kamran Sharifi
We study induced representations of Hilbert modules over locally C*-algebras and their non-degeneracy. We show that if and are Morita equivalent Hilbert modules over locall…