Norm inequalities for the spectral spread of Hermitian operators

Autor:	Massey, Pedro, Stojanoff, Demetrio, Zarate, Sebastian
Rok vydání:	2021
Předmět:	Mathematics - Functional Analysis 47A30 47B10 47B15
Druh dokumentu:	Working Paper
Popis:	In this work we introduce a new measure for the dispersion of the spectral scale of a Hermitian (self-adjoint) operator acting on a separable infinite dimensional Hilbert space that we call spectral spread. Then, we obtain some submajorization inequalities involving the spectral spread of self-adjoint operators, that are related to Tao's inequalities for anti-diagonal blocks of positive operators, Kittaneh's commutator inequalities for positive operators and also related to the Arithmetic-Geometric mean inequality. In turn, these submajorization relations imply inequalities for unitarily invariant norms (in the compact case). Comment: 26 pages. Revised version with several changes
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.09092 Zobrazit plný text záznamu View this record from Arxiv