Results 161 to 170 of about 19,389 (202)

Further unitarily invariant norm inequalities for positive semidefinite matrices

Positivity (Dordrecht), 2022
Ahmad Al-Natoor, F. Kıttaneh
semanticscholar   +2 more sources

Interpolating inequalities for unitarily invariant norms and numerical radii of matrices

Quaestiones Mathematicae. Journal of the South African Mathematical Society
In this paper, which is a continuation of our works in [9] and [10], we prove several interpolating inequalities for norms and numerical radii of matrices. Special cases of our results present refinements of some known inequalities.
Ahmad Al-Natoor, O. Hirzallah, F. Kıttaneh   +2 more
semanticscholar   +1 more source

Improved Young and Heinz operator inequalities for unitarily invariant norms

, 2020
In this paper, we present numerous refinements of the Young inequality by the Kantorovich constant. We use these improved inequalities to establish corresponding operator inequalities on a Hilbert space and some new inequalities involving the Hilbert ...
A. Beiranvand, A. Ghazanfari
semanticscholar   +1 more source

A Unitarily Invariant Norm Inequality for Positive Semidefinite Matrices and a Question of Bourin

Results in Mathematics, 2023
M. Hayajneh, Saja Hayajneh, F. Kıttaneh
semanticscholar   +1 more source

Unitarily Invariant Norms and Rearrangement

2019
In the next chapter, we will discuss some operator norm inequalities for matrix monotone functions and also some functions which are functional inverses of matrix monotone functions.
openaire   +1 more source

Singular value and unitarily invariant norm inequalities for sums and products of operators

Advances in Operator Theory, 2021
Jianguo Zhao
semanticscholar   +1 more source

Hölder-type inequalities involving unitarily invariant norms

Positivity, 2011
The author proves that, if \(A, B\) and \(X\) are operators acting on a complex Hilbert space, then \[ \left| \left| \left| {} \left| A^{\ast }XB\right|^{r} \right| \right| \right| ^{2}\leq \left| \left| \left| \left( A^{\ast }\left| X^{\ast} \right| A\right) ^{\frac{ pr}{2}} \right| \right| \right| ^{\frac{1}{p}} \left| \left| \left| \left( B^{\ast ...
openaire   +1 more source

Unitarily invariant norms related to semi-finite factors

Studia Mathematica, 2015
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Fang, Junsheng, Hadwin, Don
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Unitarily invariant generalized matrix norms and hadamard products

Linear and Multilinear Algebra, 1984
Let ‖ · ‖ be a unitarily invariant generalized matrix norm on Mn (C) the space of n-square complex matrices. Theorems are developed relating the Hadamard product (entrywise product) of two matrices A,BeMn (C) to the singular values of A and B. We conjecture that for any such norm. where A · B denotes the Hadamard product. For p ⩾ 1,1 ⩽ k ⩽ n, let where
Marvin Marcus, Kent Kidman, Markus Sandy
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Unitarily invariant norms on dual quaternion matrices

Pacific Journal of Optimization
Summary: Dual quaternion matrices have recently received significant attention in research. In this paper, we primarily investigate unitarily invariant norms of dual quaternion matrices. We first introduce symmetric gauge function on dual numbers and establish a one-to-one correspondence between unitarily invariant norms of dual quaternion matrices and
Chen, Sheng, Hu, Haofei
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