9 citations · 12 across the 5 of their papers we have counts for
5 papers
On an equivalence of the topology of algebraic cone metric spaces and metric spaces
Saeedeh Shamsi Gamchi, Mohammad Janfada, Assadollah Niknam
In this paper, we prove that the topology induced by algebraic cone metric coincides with the topology induced by the metric obtained via a nonlinear scalarization function, i.e. a…
Unitarily invariant norm inequalities for operators
M. Erfanian Omidvar, M. S. Moslehian, A. Niknam
We present several operator and norm inequalities for Hilbert space operators. In particular, we prove that if , then \[|||A_{1}…
The Atkinson Theorem in Hilbert C*-Modules Over C*-Algebras of Compact Operators
Assadollah Niknam, Kamran Sharifi
In this paper the concept of unbounded Fredholm operators on Hilbert C*- modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and u…
Generalized Derivations on Modules
Gh. Abbaspour, M. S. Moslehian, A. Niknam
Let be a Banach algebra and be a Banach right -module. A linear map is called a generalized derivation if there exists a derivation such that $…
Dynamical Systems on Hilbert C*-Modules
Gh. Abbaspour, M. S. Moslehian, A. Niknam
We investigate the generalized derivations and show that every generalized derivation on a simple Hilbert -module either is closable or has a dense range. We also describe dyn…