Results 161 to 170 of about 10,056 (177)

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

Applications of the Arithmetic-Geometric and Holder Inequalities for Unitarily Invariant Norms

International Journal of Analysis and Applications
Let \(A_{i},B_{i},X_{i}\) and \(Y_{i}\) be \(n\times n\) complex matrices such that \(X_{i}\) and \(Y_{i}\) are positive, \(i=1,2,...,n\), \(p,q>1\) where \(\frac{1}{p}+\frac{1}{q}=1\), \(\alpha \in \left[ 0,1\right] \) and \(r\geq 0\).
W. Audeh
semanticscholar   +1 more source

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

On the unitarily invariant norms and some related results

Linear and Multilinear Algebra, 1987
A norm N defined on the linear space of n × n complex matrices (denoted by ) is said to be unitarily invariant if for any A in and n × n unitary matrix U. In this note we study the properties of unitarily invariant norms. Using the metric properties of with respect to this kind of norms, we characterize different classes of matrices such as normal ...
Chi-Kwong Li, Nam-Kiu Tsing
openaire   +1 more source

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

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

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

Inequalities involving Hadamard products and unitarily invariant norms.

1998
Summary: Let \(M_{n,m}\) be the space of \(n\times m\) complex matrices and \(M_n\equiv M_{n,n}\). For Hermitian matrices \(G,H\in M_n\), \(G\geq H\) means that \(G-H\) is positive semidefinite. Denote by \(A\circ B\) the Hadamard product of matrices \(A\) and \(B\).
openaire   +2 more sources

An Analog of the Cauchy–Schwarz Inequality for Hadamard Products and Unitarily Invariant Norms

SIAM Journal on Matrix Analysis and Applications, 1990
Roy Mathias
exaly  

Inequalities for hadamard product and unitarily invariant norms of matrices

Linear and Multilinear Algebra, 2001
Mandeep Singh, Jaspal Singh Aujla, H L Vâsudeva   +2 more
exaly