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20042026
most citedA Fixed Point Approach to Stability of a Quadratic Equation

191 citations · 293 across the 22 of their papers we have counts for

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math.FA2007

On minimal norms on

Madjid Mirzavaziri, Mohammad Sal Moslehian

In this note, we show that for each minimal norm on the algebra of all complex matrices, there exist norms and on ${\mathb…

math.FA2006

Achievement of continuity of -derivations without continuity

S. Hejazian, A. R. Janfada, M. Mirzavaziri +1

Suppose that $\calak$ is a -algebra acting on a Hilbert space $\calhk$, and that are mappings from $\calak$ into $B(\calhk)$ which are not assumed to be necessarily lin…

math.FA2005★ 191 cited

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…

math.FA2005

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…

math.FA2005★ 50 cited

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…

math.FA2005★ 41 cited

-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 $…