Results 51 to 60 of about 1,268 (93)

A simple proof of Jordan normal form [PDF]

arXiv, 2011
In this note, a simple proof Jordan normal form and rational form of matrices over a field is given.
arxiv  

Structured Singular values on some generalized stochastic matrices [PDF]

arXiv, 2021
In this paper, the exact values of the structured singular values of some generalized stochastic complex matrices is explicit in term of the constant row (column) sum.
arxiv  

Further refinements of the Cauchy-Schwarz inequality for matrices [PDF]

, 2014
Let $A, B$ and $X$ be $n\times n$ matrices such that $A, B$ are positive semidefinite. We present some refinements of the matrix Cauchy-Schwarz inequality by using some integration techniques and various refinements of the Hermite--Hadamard inequality ...
Bakherad, Mojtaba
core  

The k-rank numerical radii

, 2012
The $k$-rank numerical range $\Lambda_{k}(A)$ is expressed via an intersection of a countable family of numerical ranges $\{F(M^{*}_{\nu}AM_{\nu})\}_{\nu\in\mathbb{N}}$ with respect to $n\times (n-k+1)$ isometries $M_{\nu}$.
Aretaki, Aikaterini, Maroulas, John
core   +1 more source

On Berezin norm and Berezin number inequalities for sum of operators

Demonstratio Mathematica
The aim of this study is to obtain several inequalities involving the Berezin number and the Berezin norm for various combinations of operators acting on a reproducing kernel Hilbert space.
Altwaijry Najla, Feki Kais, Minculete Nicusor   +2 more
doaj   +1 more source

Berezin number inequalities for operators

Concrete Operators, 2019
The Berezin transform à of an operator A, acting on the reproducing kernel Hilbert space ℋ = ℋ (Ω) over some (non-empty) set Ω, is defined by Ã(λ) = 〉Aǩ λ, ǩ λ〈 (λ ∈ Ω), where k⌢λ=kλ‖kλ‖${\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\frown ...
Bakherad Mojtaba, Garayev Mubariz T.
doaj   +1 more source

Matrix inequalities and majorizations around Hermite-Hadamard's inequality [PDF]

arXiv, 2022
We study an elementary inequality supporting the classical Hermite-Hadamard inequality in the matrix setting. This leads to a number of interesting matrix inequalities such new Schatten p-norm estimates and new ...
arxiv  

An operator extension of the parallelogram law and related norm inequalities [PDF]

, 2010
We establish a general operator parallelogram law concerning a characterization of inner product spaces, get an operator extension of Bohr's inequality and present several norm inequalities.
Moslehian, Mohammad Sal
core  

On the Norms of Circulant and $r-$Circulant Matrices With the Hyperharmonic Fibonacci Numbers

, 2015
In this paper, we study norms of circulant and $r-$circulant matrices involving harmonic Fibonacci and hyperharmonic Fibonacci numbers.
Kizilateş, Can, Tuglu, Naim
core   +1 more source

Reverses of operator Aczél inequality [PDF]

, 2017
In this paper we present some inequalities involving operator decreasing functions and operator means. These inequalities provide some reverses of operator Acz\'el inequality dealing with the weighted geometric mean.
arxiv   +1 more source