Proof of Audenaert-Kittaneh's Conjecture

Fuente: arXiv
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Main Author: Zhang, Teng
Format: Preprint
Published: 2024
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_version_ 1866914339219308544
author Zhang, Teng
author_facet Zhang, Teng
contents By using the Three-lines theorem for a certain analytic function defined in terms of the trace and a duality argument method, we prove Audenaert-Kittaneh's conjecture related to $p$-Schatten classes. This generalizes the main result obtained by McCarthy in [Israel J. Math. 5 (1967)].
format Preprint
id arxiv_https___arxiv_org_abs_2401_05456
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Proof of Audenaert-Kittaneh's Conjecture
Zhang, Teng
Functional Analysis
Operator Algebras
47A30, 46C15, 47B10, 47B15
By using the Three-lines theorem for a certain analytic function defined in terms of the trace and a duality argument method, we prove Audenaert-Kittaneh's conjecture related to $p$-Schatten classes. This generalizes the main result obtained by McCarthy in [Israel J. Math. 5 (1967)].
title Proof of Audenaert-Kittaneh's Conjecture
topic Functional Analysis
Operator Algebras
47A30, 46C15, 47B10, 47B15
url https://arxiv.org/abs/2401.05456