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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

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Showing 2019Show all

6 papers · 1 filter

math.FA2019

A-numerical radius and product of semi-Hilbertian operators

Ali Zamani

Let be a positive bounded operator on a Hilbert space . The semi-inner product ${\langle x, y\rangle}_A := \langle Ax, y\ra…

math.FA2019★ 79 cited

Seminorm and numerical radius inequalities of operators in semi-Hilbertian spaces

M. S. Moslehian, Q. Xu, A. Zamani

Let be a positive bounded operator on a Hilbert space . The semi-inner product ${\langle x, y\rangle}_A := \langle Ax, y\ra…

math.FA2019

Numerical radius orthogonality in -algebras

Ali Zamani, Pawel Wojcik

In this paper we characterize the Birkhoff--James orthogonality with respect to the numerical radius norm in -algebras. More precisely, for two elements in a…

math.FA2019★ 5 cited

Numerical radius inequalities concerning with algebraic norms

A. Zamani, M. S. Moslehian, Q. Xu +1

We give an expression for a generalized numerical radius of Hilbert space operators and then apply it to obtain upper and lower bounds for the generalized numerical radius. We also…

math.FA2019

-numerical radius inequalities for semi-Hilbertian space operators

Ali Zamani

Let be a positive bounded operator on a Hilbert space . The semi-inner product ${\langle x, y\rangle}_A := \langle Ax, y\ra…

math.FA2019★ 1 cited

Birkhoff--James orthogonality of operators in semi-Hilbertian spaces and its applications

Ali Zamani

In this paper, the concept of Birkhoff--James orthogonality of operators on a Hilbert space is generalized when a semi-inner product is considered. More precisely, for linear opera…