191 citations · 293 across the 22 of their papers we have counts for
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A Fixed Point Approach to Stability of a Quadratic Equation
M. Mirzavaziri, M. S. Moslehian
Using the fixed point alternative theorem we establish the orthogonal stability of quadratic functional equation of Pexider type , where are m…
A Kadison-Sakai Type Theorem
M. Mirzavaziri, M. S. Moslehian
The celebrated Kadison--Sakai theorem states that every derivation on a von Neumann algebra is inner. In this paper, we prove this theorem for ultraweakly continuous *-σ-derivation…
Automatic Continuity of -Derivations on -Algebras
Madjid Mirzavaziri, Mohammad Sal Moslehian
Let be a -algebra acting on a Hilbert space , be a linear mapping and be a -derivation. Generalizing the celebrated theorem of Sakai, we…
-Derivations in Banach Algebras
M. Mirzavaziri, M. S. Moslehian
Introducing the notions of (inner) -derivation, (inner) -endomorphism and one-parameter group of -endomorphisms (-dynamics) on a Banach algebra, we correspond to each $…
-norms are really norms
H. Belbachir, M. Mirzavaziri, M. S. Moslehian
Replacing the triangle inequality, in the definition of a norm, by , we introduce the notion of a q-norm. We establish that every q-…