arXiv subjects

Gh. Abbaspour Tabadkan

Publications and source records attributed to Gh. Abbaspour Tabadkan.

2 recordsLinked to original sources

arXiv2018

K-frames in Hilbert $C^*$-modules

In this paper, firstly we investigate conditions under which the action of an operator on a $K$-frame, remain again a $K$-frame for Hilbert module E. We also give a generalization of Douglas Theorem and we shall use it to prove the sum of two $K$-frame under certain condition is again a $K$-frame. Finally, we characterize the $K$-frame generators for a unitary system in terms of operators.

math.OA↗

arXiv2014

Induced representations of Hilbert $C^*$-modules

In this paper, we define the notion of induced representations of a Hilbert $C^{*}$-module and we show that Morita equivalence of two Hilbert modules (in the sense of Moslehian and Joita), implies the equivalence of categories of non-degenerate representations of two Hilbert modules.

math.OA↗