Triangle inequalities for the operator symmetric modulus
Functional Analysis
2026-02-24 v1
Abstract
We study the operator symmetric modulus (|Z|+|Z^*|)/2 for matrices Z. Several triangle type inequalities are given.
Cite
@article{arxiv.2602.19607,
title = {Triangle inequalities for the operator symmetric modulus},
author = {Jean-Christophe Bourin and Eun-Young Lee},
journal= {arXiv preprint arXiv:2602.19607},
year = {2026}
}
Related papers
View all related →
Functional Analysis · Mathematics
Operator symmetric moduli and sharp triangle inequalities
Teng Zhang
2026-03-03
Functional Analysis · Mathematics
An operator triangle inequality for the quadratic symmetric modulus
Teng Zhang
2026-04-17
Functional Analysis · Mathematics
Angles, triangle inequalities, correlation matrices and metric-preserving and subadditive functions
Diego Castano, Vehbi E. Paksoy, Fuzhen Zhang
2014-12-10
Functional Analysis · Mathematics
Operator inequalities via the triangle inequality
Shigeru Furuichi, Mohammad Sababheh, Hamid Reza Moradi
2022-04-19
Functional Analysis · Mathematics
Operator versions of H\"older inequality and Hilbert $C^*$-modules
Dragoljub J. Kečkić
2019-07-02
Functional Analysis · Mathematics
Equivalence relations among some inequalities on operator means
Shuhei Wada, Takeaki Yamazaki
2019-12-19
Functional Analysis · Mathematics
Generalized numerical radius inequalities for certain operator matrices
Satyajit Sahoo, Narayan Behera
2025-01-14
Functional Analysis · Mathematics
Integral Numerical Radius and Operator Matrix Bounds
Shiva Sheybani, Hamid Reza Moradi, Mohammad Sababheh
2026-02-17
Functional Analysis · Mathematics
Some inequalities for adjointable operators on Hilbert $C^*$-modules
Mohammad Sababheh, Hamid Reza Moradi, Qingxiang Xu, Shuo Zhao
2024-06-14
Functional Analysis · Mathematics
Norm and numerical radius inequalities for operator matrices
Fuad Kittaneh, Hamid Reza Moradi, Mohammad Sababheh
2022-06-28
Functional Analysis · Mathematics
Euclidean operator radius inequalities of $d$-tuple operators and operator matrices
Suvendu Jana, Pintu Bhunia, Kallol Paul
2023-04-18
Functional Analysis · Mathematics
Numerical radius inequalities of operator matrices with applications
Pintu Bhunia, Santanu Bag, Kallol Paul
2024-08-13
Functional Analysis · Mathematics
Operator equalities and Characterizations of Orthogonality in Pre-Hilbert $C^*$-Modules
Rasoul Eskandari, M. S. Moslehian, Dan Popovici
2021-07-23
Functional Analysis · Mathematics
Problems and Conjectures in Matrix and Operator Inequalities
K. M. R. Audenaert, F. Kittaneh
2012-05-02
Functional Analysis · Mathematics
Operator Aczel inequality
Mohammad Sal Moslehian
2012-03-22
Functional Analysis · Mathematics
Modular estimates in Orlicz spaces and Hammerstein operator equations
A. V. Lebedev, P. P. Zabreiko
2007-05-23
Functional Analysis · Mathematics
Some Trace Inequalities for Operators in Hilbert Spaces
Silvestru Sever Dragomir
2014-09-24
Operator Algebras · Mathematics
The parallel sum for adjointable operators on Hilbert $C^*$-modules
Wei Luo, Chuanning Song, Qingxiang Xu
2018-07-16
Operator Algebras · Mathematics
Norm Inequalities in Operator Ideals
Gabriel Larotonda
2008-08-19
Functional Analysis · Mathematics
On inequalities for A-numerical radius of operators
Pintu Bhunia, Kallol Paul, Raj Kumar Nayak
2024-08-13
Functional Analysis · Mathematics
Elevating Precision in Inequalities for Numerical Radii and Operator Matrices
M. H. M. Rashid
2024-10-07
Operator Algebras · Mathematics
Inequalities for operator space numerical radius of $2\times 2$ block matrices
Mohammad Sal Moslehian, Mostafa Sattari
2021-07-23
Functional Analysis · Mathematics
More accurate numerical radius inequalities
Mohammad Sababheh, Hamid Reza Moradi
2019-06-21
Analysis of PDEs · Mathematics
Hardy type inequalities with mixed weights in cones
Gabriele Cora, Roberta Musina, Alexander I. Nazarov
2023-05-10
Classical Analysis and ODEs · Mathematics
Some Ostrowski type inequalities for double integrals On Time Scales
Deepak B. Pachpatte
2018-07-27