Noncommutative Schwarz lemma and Pick-Julia theorems for generalized derivations in norm ideals of compact operators
type: Item
instance of: scholarly article
title: Noncommutative Schwarz lemma and Pick-Julia theorems for generalized derivations in norm ideals of compact operators
author: Danko R. Jocić
published in: Complex Analysis and Operator Theory
publication date: 2022-10-31T00:00:00Z
review text: In this article, the author provides analogues and generalizations of the Pick-Julia theorem in the Schatten class setting, and more widely, in the setting of symmetrically normed ideals of compact Hilbert space operators.
reviewed by: Elhadj Dahia
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 30A10
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 47A60
Mathematics Subject Classification ID: 47B15
zbMATH DE Number: 7609796
zbMATH Keywords: norm inequalities
zbMATH Keywords: Schatten von Neuman ibeals
zbMATH Keywords: Q and \(Q^\ast\) norms
Wikidata QID: Q115230378
MaRDI profile type: Publication
full work available at URL: s11785-022-01287-8
OpenAlex ID: W4307730504
cites work: Comparison of norms \(|||f(A)-f(B)|||\) and \(|||f(|A-B|)|||\)
cites work: Pick-Julia theorems for operators
cites work: Schwarz-Pick Type Inequalities
cites work: Q5690490
cites work: Double operator integrals in a Hilbert space
cites work: Q3254057
cites work: Analytic functions of a proper contraction
cites work: Julia's lemma for operators
cites work: The commutant lifting approach to interpolation problems
cites work: The Theory ofH(b) Spaces
cites work: Q5571194
cites work: Classes of linear operators. Vol. I
cites work: Cauchy-Schwarz and means inequalities for elementary operators into norm ideals
cites work: Cauchy--Schwarz norm inequalities for weak*-integrals of operator valued functions
cites work: Multipliers of elementary operators and comparison of row and column space Schatten \(p\) norms
cites work: Q1688905
cites work: Inequalities for generalized derivations of operator monotone functions in norm ideals of compact operators
cites work: Foundations of Free Noncommutative Function Theory
cites work: Harmonic analysis of operators on Hilbert space
cites work: Q5850678
cites work: Q3263053
cites work: Q3857325
cites work: Pick’s theorems for dissipative operators
cites work: Q3891239
DOI: 10.1007/S11785-022-01287-8
description: scientific article; zbMATH DE number 7609796