Results 141 to 150 of about 13,431 (178)

A Beurling theorem for noncommutative Hardy spaces associated with semifinite von Neumann algebras with unitarily invariant norms

Journal of operator theory, 2019
We introduce a class of unitarily invariant, locally ‖ · ‖1-dominating, mutually continuous norms with repect to τ on a von Neumann algebra M with a faithful, normal, semifinite tracial weight τ .
Wenjing Liu, Lauren B. M. Sager
semanticscholar   +1 more source

A note on unitarily invariant matrix norms

Linear Algebra and its Applications, 2020
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Ding, Wenxuan, Li, Chi-Kwong, Li, Yuqiao
openaire   +1 more source

Unitarily invariant norm inequalities for positive semidefinite matrices

Linear Algebra and its Applications, 2022
Let \(M_n(\mathbb{C})\) denote the space of all \(n\times n\) complex matrices. \textit{F. Kittaneh} [J. Funct. Anal. 250, No. 1, 132--143 (2007; Zbl 1131.47009)] proved that if \(A, B, X \in M_n(\mathbb{C})\) such that \(A, B\) are positive semidefinite, then \[ \|| AX-XB |\| \le \Vert X\Vert~\|| A \oplus B |\|, \] where \(\|| \cdot |\|\) denotes the ...
Al-Natoor, Ahmad, Benzamia, Sakina, Kittaneh, Fuad   +2 more
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A non-commutative Beurling's theorem with respect to unitarily invariant norms

, 2015
In 1967, Arveson invented a non-commutative generalization of classical $H^{\infty},$ known as finite maximal subdiagonal subalgebras, for a finite von Neumann algebra $\mathcal M$ with a faithful normal tracial state $\tau$.
Yann-Kunn Chen, D. Hadwin, Junhao Shen
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 ...
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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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Clarkson–McCarthy Inequalities for Several Operators and Related Norm Inequalities for p-Modified Unitarily Invariant Norms

Complex Analysis and Operator Theory, 2019
Danko R. Jocić
semanticscholar   +2 more sources

Refinements of Inequalities Related to Landau–Grüss Inequalities for Elementary Operators Acting on Ideals Associated to p-Modified Unitarily Invariant Norms

Complex Analysis and Operator Theory, 2018
Danko R. Jocić, Đ. Krtinić, Milan Lazarević, Petar Melentijević, Stefan Milošević   +4 more
semanticscholar   +2 more sources

Classical inequalities equivalent to an inequality model generated by a numerical function for unitarily invariant norms

Mathematical Inequalities & Applications
Ameur Seddik
semanticscholar   +1 more source

Inequalities of singular values and unitarily invariant norms for sums and products of matrices

Positivity (Dordrecht)
Jianguo Zhao
semanticscholar   +1 more source