Výsledky vyhledávání - "Mirzapour, F."

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Further properties of involutory and idempotent matrices

In this paper, we will derive the real roots of certain sets of matrices with real entries. We will also demonstrate that real orthogonal matrices can have real root or be involutory. Eventually, we will represent idempotent matrices in a block form.

Externí odkaz: http://arxiv.org/abs/2004.09826

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Some inequalities on $h$-convex functions

Autor: Abbasi, M., Morassaei, A., Mirzapour, F.

In this paper, we state some characterizations of $h$-convex function is defined on a convex set in a linear space. By doing so, we extend the Jensen-Mercer inequality for $h$-convex function. We will also define $h$-convex function for operators on

Externí odkaz: http://arxiv.org/abs/2003.12714

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Operator equations $AX+YB=C$ and $AXA^*+BYB^*=C$ in Hilbert $C^*$-modules

Autor: Mousavi, Z., Eskandari, R., Moslehian, M. S., Mirzapour, F.

Publikováno v: Linear Algebra Appl. 517 (2017), 85-98

Let $A,B$ and $C$ be adjointable operators on a Hilbert $C^*$-module $\mathscr{E}$. Giving a suitable version of the celebrated Douglas theorem in the context of Hilbert $C^*$-modules, we present the general solution of the equation $AX+YB=C$ when th

Externí odkaz: http://arxiv.org/abs/1612.03857

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Operator Entropy Inequalities

Autor: Morassaei, A., Mirzapour, F., Moslehian, M. S.

Publikováno v: Colloq. Math. 130 (2013), no. 2, 159-168

In this paper we investigate a notion of relative operator entropy, which develops the theory started by J.I. Fujii and E. Kamei [Math. Japonica 34 (1989), 341--348]. For two finite sequences $\mathbf{A}=(A_1,...,A_n)$ and $\mathbf{B}=(B_1,...,B_n)$

Externí odkaz: http://arxiv.org/abs/1304.0159

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Bellman inequality for Hilbert space operators

Autor: Morassaei, A., Mirzapour, F., Moslehian, M. S.

Publikováno v: Linear Algebra Appl. 438 (2013) 3776-3780

We establish some operator versions of Bellman's inequality. In particular, we prove that if $\Phi: \mathbb{B}(\mathscr{H}) \to \mathbb{B}(\mathscr{K})$ is a unital positive linear map, $A,B \in \mathbb{B}(\mathscr{H})$ are contractions, $p>1$ and $0

Externí odkaz: http://arxiv.org/abs/1108.1471

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