Bicircular projections on some matrix and operator spaces
type: Item
instance of: scholarly article
title: Bicircular projections on some matrix and operator spaces
zbMATH Open document ID: 1068.47043
author: Borut Zalar
author: László Stachó
published in: Linear Algebra and its Applications
publication date: 2004-08-06T00:00:00Z
review text: A projection \(p\) on a complex Banach space is called bicircular if every linear combination \(\lambda p+\mu (1-p)\), with \(| \lambda| =| \mu| =1\), is an isometry. This notion arises from complex analysis, particularly Reinhardt domains. The authors study and explicitly characterize the set of bicircular projections for the complex Banach spaces \(B(H)\) of bounded linear operators on a Hilbert space \(H\), \(S(H)\) (the symmetric part of \(B(H)\)) and \(A(H)\) (the antisymmetric part of \(B(H)\)).
reviewed by: Martín Argerami
Mathematics Subject Classification ID: 47C05
Mathematics Subject Classification ID: 47C10
Mathematics Subject Classification ID: 47L25
zbMATH DE Number: 2083489
zbMATH Keywords: bicircular projections
zbMATH Keywords: complex Banach spaces
MaRDI profile type: Publication
full work available at URL: j.laa.2003.11.014
OpenAlex ID: W2069747502
cites work: BOUNDED DERIVATIONS OF JB* - TRIPLES
cites work: On Herstein's Lie map conjectures. II
cites work: Jordan Derivations on Semiprime Rings
cites work: Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space
cites work: Q4045220
cites work: A Generalization of C* -Algebras
cites work: DERIVATIONS ON REAL AND COMPLEX JB*-TRIPLES
cites work: Q5186174
cites work: Über die Automorphismen Grassmannscher Mannigfaltigkeiten unendlicher Dimension
cites work: A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
cites work: Q4313492
cites work: Symmetric continuous Reinhardt domains
cites work: Derivatons of Jordan $C^*$-algebras.
cites work: Q4718130
DOI: 10.1016/J.LAA.2003.11.014
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description: scientific article; zbMATH DE number 2083489