3 papers
math.OA2025
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…
math.OA2025
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…
math.OA2024
EP modular operators and their products
Kamran Sharifi
We study first EP modular operators on Hilbert C*-modules and then we provide necessary and sufficient conditions for the product of two EP modular operators to be EP. These enable…