Results 1 to 10 of about 1,164 (138)
A concavity inequality for symmetric norms [PDF]
arXiv, 2005 We review some convexity inequalities for Hermitian matrices an add one more to the list.
Bourin, Jean-christophe
arxiv +5 more sources
Symmetric norms and reverse inequalities to Davis and Hansen-Pedersen characterizations of operator convexity [PDF]
arXiv, 2005 Some rearrangement inequalities for symmetric norms on matrices are given as well as related results for operator convex functions.
Bourin, Jean-Christophe
arxiv +3 more sources
The p-norm of circulant matrices via Fourier analysis
Concrete Operators, 2022 A recent work derived expressions for the induced p-norm of a special class of circulant matrices A(n, a, b) ∈ ℝn×n, with the diagonal entries equal to a ∈ ℝ and the off-diagonal entries equal to b ≥ 0.
Sahasranand K. R.
doaj +1 more source
Some results on generalized finite operators and range kernel orthogonality in Hilbert spaces
Demonstratio Mathematica, 2021 Let ℋ{\mathcal{ {\mathcal H} }} be a complex Hilbert space and ℬ(ℋ){\mathcal{ {\mathcal B} }}\left({\mathcal{ {\mathcal H} }}) denotes the algebra of all bounded linear operators acting on ℋ{\mathcal{ {\mathcal H} }}.
Mesbah Nadia +2 more
doaj +1 more source
Study on Birkhoff orthogonality and symmetry of matrix operators
Open Mathematics, 2023 We focus on the problem of generalized orthogonality of matrix operators in operator spaces. Especially, on ℬ(l1n,lpn)(1≤p≤∞){\mathcal{ {\mathcal B} }}\left({l}_{1}^{n},{l}_{p}^{n})\left(1\le p\le \infty ), we characterize Birkhoff orthogonal elements of
Wei Yueyue, Ji Donghai, Tang Li
doaj +1 more source
Range-Kernel orthogonality and elementary operators on certain Banach spaces
Demonstratio Mathematica, 2021 The characterization of the points in Cp:1 ...
Bachir Ahmed +3 more
doaj +1 more source
Range-kernel weak orthogonality of some elementary operators
Open Mathematics, 2021 We study the range-kernel weak orthogonality of certain elementary operators induced by non-normal operators, with respect to usual operator norm and the Von Newmann-Schatten pp-norm (1 ...
Bachir Ahmed +2 more
doaj +1 more source
On minimal norms on $M_n$ [PDF]
, 2007 In this note, we show that for each minimal norm $N(\cdot)$ on the algebra $M_n$ of all $n \times n$ complex matrices, there exist norms $\|\cdot\|_1$ and $\|\cdot\|_2$ on ${\mathbb C}^n$ such that $$N(A)=\max\{\|Ax\|_2: \|x\|_1=1, x\in {\mathbb C}^n\}$$
Mirzavaziri, Madjid +1 more
core +4 more sources
A new generalization of two refined Young inequalities and applications
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we prove that if a, b > 0 and 0 ≤ α ≤ 1, then for m = 1, 2, 3, . . . ,
Ighachane M. A., Akkouchi M.
doaj +1 more source
Inequalities related to Bourin and Heinz means with a complex parameter [PDF]
, 2015 A conjecture posed by S. Hayajneh and F. Kittaneh claims that given A, B positive matrices, 0≤t≤1, and any unitarily invariant norm the following inequality holds{triple vertical-rule fence}AtB1-t+BtA1-t{triple vertical-rule fence}≤{triple vertical-rule ...
Bottazzi, Tamara Paula +3 more
core +3 more sources