Results 211 to 220 of about 4,755,611 (236)

A linear preserver problem on maps which are triple derivable at orthogonal pairs

RACSAM, 2020
A linear mapping T on a JB∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}
Ahlem Ben Ali Essaleh, A. M. Peralta
semanticscholar   +1 more source

Linear preserves of logarithm majorization

2023
Summary: Let \(X\), \(Y\in \mathbb{R}^n\), \(X\), \(Y>0\), we say \(X\) logarithm majorized by \(Y\), written \(X\prec_{\log} Y\) if \(\log X\prec \log Y\). Let \(M_{nm}^+\) be the collection of matrices with positive entries. For \(X\), \(Y\in M_{nm}^+\), it is said that \(X\) is \textit{logarithm column (row) majorized} by \(Y\), and is denoted as ...
Mohammadhasani, Ahmad, Dehghanian, Mehdi, Sayyari, Yamin   +2 more
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Normal-Preserving Linear Mappings

Canadian Mathematical Bulletin, 1994
AbstractLet H be a Hilbert space, dim H ≥ 3, and B(H) the algebra of all bounded linear operators on H. We characterize bijective linear mappings on B(H) that preserve normal operators.
Brešar, Matej, Šemrl, Peter
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THREE LINEAR PRESERVER PROBLEMS

Mathematics and the 21st Century, 2001
A. Sourour
semanticscholar   +2 more sources

Non-Linear Spectrum-Preserving Maps

Bulletin of the London Mathematical Society, 2000
Summary: Let \({\mathcal M}_n\) denote the space of complex \(n\times n\) matrices, and let \(\Omega_n\) denote the spectral unit ball of \({\mathcal M}_n\), namely the set of matrices in \({\mathcal M}_n\) whose eigenvalues lie within the open unit disc. As a step towards the eventual classification of the holomorphic automorphisms of \(\Omega_n\), we
Baribeau, Line, Ransford, Thomas
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Linear Preservers of Quadratic Operators

Mediterranean Journal of Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oudghiri, Mourad, Souilah, Khalid
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Non-linear modular Birkhoff-James orthogonality preservers between spaces of continuous functions

, 2021
A new notion of non-linear isomorphisms between Banach modules is introduced based on modular Birkhoff-James orthogonality. It is shown that a (possibly non-linear) bijective modular Birkhoff-James orthogonality preserver in both direction between spaces
Ryotaro Tanaka
semanticscholar   +1 more source

K -POTENT PRESERVING LINEAR MAPS

Acta Mathematica Scientia, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, Shengzhao, Hou, Jinchuan
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Linear Mappings which Preserve Paracontractions

Monatshefte f�r Mathematik, 2003
A paracontraction (relative to a given norm \(\|\cdot \|\) on a vector space \({\mathbb C}^n\)) is a matrix \(A\in {\mathcal M}_n({\mathbb C})\) with the property that either \(Ax = x\) or \(\| Ax\| < \| x\|\). In this paper, the author proves that a linear surjective map \(\Phi :{\mathcal M}_n({\mathbb C})\rightarrow {\mathcal M}_n({\mathbb C ...
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Linear Maps Preserving Matrix Discriminant

Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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