A. Zamani

activity

20142023

most citedSeminorm and numerical radius inequalities of operators in semi-Hilbertian spaces

79 citations · 247 across the 24 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.OA2022

An extension of the $a$ -numerical radius on $C^{*}$ -algebras

Mohamed Mabrouk, Ali Zamani

Let $a$ be a positive element in a unital $C^{*}$ -algebra $A$ . We define a semi-norm on $A$ , which generalizes the $a$ -operator semi-norm and the $a$ -numerical…

math.FA2022★ 5 cited

An extension of Birkhoff--James orthogonality relations in semi-Hilbertian space operators

S. M. Enderami, M. Abtahi, A. Zamani

Let $B (H)$ denote the $C^{*}$ -algebra of all bounded linear operators on a Hilbert space $(H, ⟨ \cdot, \cdot ⟩)$ . Given a positive…

math.FA2022

A geometric approach to inequalities for the Hilbert--Schmidt norm

Ali Zamani

We define angle $Θ_{X, Y}$ between non-zero Hilbert--Schmidt operators $X$ and $Y$ by $cos Θ_{_{X, Y}} = \frac{Re Tr ( Y ^{*} X )}{∥ X ∥ _{_{2}} ∥ Y ∥ _{_{2}}}$ , and give some of it…

math.FA2022

An orthogonality relation in complex normed spaces based on norm derivatives

S. M. Enderami, M. Abtahi, A. Zamani +1

Let $X$ be a complex normed space. Based on the right norm derivative $ρ_{_{+}}$ , we define a mapping $ρ_{_{\infty}}$ by \begin{equation*} ρ_{_{\infty}}(x,y) = \frac1π\int_0^{2π}e^…

An extension of the a-numerical radius on C∗-algebras

An extension of Birkhoff--James orthogonality relations in semi-Hilbertian space operators

A geometric approach to inequalities for the Hilbert--Schmidt norm

An orthogonality relation in complex normed spaces based on norm derivatives

An extension of the $a$ -numerical radius on $C^{*}$ -algebras