Zobrazeno 1 - 10
of 87
pro vyhledávání: '"MIRZAVAZIRI, M."'
Autor:
Mirzavaziri, M., Moslehian, M. S.
Publikováno v:
Georgian Math. J. 18 (2011), 137-145
Suppose that ${\mathcal A}$ is an algebra, $\sigma,\tau:{\mathcal A}\to{\mathcal A}$ are two linear mappings such that both $\sigma({\mathcal A})$ and $\tau({\mathcal A})$ are subalgebras of ${\mathcal A}$ and ${\mathcal X}$ is a $\big(\tau({\mathcal
Externí odkaz:
http://arxiv.org/abs/0911.2753
Suppose that $\calak$ is a $C^*$-algebra acting on a Hilbert space $\calhk$, and that $\phi, \psi$ are mappings from $\calak$ into $B(\calhk)$ which are not assumed to be necessarily linear or continuous. A $(\phi, \psi)$-derivation is a linear mappi
Externí odkaz:
http://arxiv.org/abs/math/0611016
Autor:
Mirzavaziri, M., Moslehian, M. S.
Publikováno v:
Kragujevac J. Math. 29 (2006) 133-140.
In this paper we introduce the notion of orthogonally constant mapping in an isosceles orthogonal space and establish stability of orthogonally constant mappings. As an application, we discuss the orthogonal stability of the Pexiderized quadratic equ
Externí odkaz:
http://arxiv.org/abs/math/0604463
Autor:
Mirzavaziri, M., Moslehian, M. S.
Publikováno v:
Bull. Braz. Math. Soc. 37 (2006), no.3, 361-376
Using the fixed point alternative theorem we establish the orthogonal stability of quadratic functional equation of Pexider type $f(x+y)+g(x-y)=h(x)+k(y)$, where $f, g, h, k$ are mappings from a symmetric orthogonality space to a Banach space, by ort
Externí odkaz:
http://arxiv.org/abs/math/0512007
Autor:
Mirzavaziri, M., Moslehian, M. S.
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 *-\sigma-derivations, where \sigma is an ultraweakly continuous surjective *-linear
Externí odkaz:
http://arxiv.org/abs/math/0510267
Autor:
Mirzavaziri, M., Moslehian, M. S.
Publikováno v:
Bull. Iranian Math. Soc. 32 (2006), no. 1, 65-78
Introducing the notions of (inner) $\sigma$-derivation, (inner) $\sigma$-endomorphism and one-parameter group of $\sigma$-endomorphisms ($\sigma$-dynamics) on a Banach algebra, we correspond to each $\sigma$-dynamics a $\sigma$-derivation named as it
Externí odkaz:
http://arxiv.org/abs/math/0505319
Publikováno v:
Aust. J. Math. Anal. Appl. 3 (2006), no. 1, Art. 2, 3 pp
Replacing the triangle inequality, in the definition of a norm, by $|x + y| ^{q}\leq 2^{q-1}(|x| ^{q} + |y| ^{q}) $, we introduce the notion of a q-norm. We establish that every q-norm is a norm in the usual sense, and that the converse is true as we
Externí odkaz:
http://arxiv.org/abs/math/0503616
Publikováno v:
Czechoslovak Math. J. 57 (2007), no. 1, 127-133
Let ||.|| be a norm on the algebra M_n of all n-by-n matrices over the complex field C. An interesting problem in matrix theory is that "are there two norms ||.||_1 and ||.||_2 on C^n such that ||A||=max{||Ax||_2: ||x||_1=1} for all A in M_n. We will
Externí odkaz:
http://arxiv.org/abs/math/0407357
Publikováno v:
Bull. Iranian Math. Soc. 31 (2005), no. 1, 13-23
Let $\mathcal A$ and $\mathcal B$ be two (complex) algebras. A linear map $\phi:{\mathcal A}\to{\mathcal B}$ is called $n$-homomorphism if $\phi(a_{1}... a_{n})=\phi(a_{1})...\phi(a_{n})$ for each $a_{1},...,a_{n}\in{\mathcal A}.$ In this paper, we i
Externí odkaz:
http://arxiv.org/abs/math/0406553
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