Banach spaces whose algebras of operators have a large group of unitary elements

DOI10.1017/S0305004107000655zbMath1139.46014MaRDI QIDQ5450705

Julio Becerra Guerrero, María J. Burgos, Angel Rodriguez Palacios, El Amin Mokhtar Kaidi

Publication date: 13 March 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Hilbert spacesunitary normed algebra

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Characterizations of Hilbert spaces (46C15) Topological algebras of operators (46H35)

Related Items

Similarities and differences between real and complex Banach spaces: an overview and recent developments ⋮ Unitary operators in real von Neumann algebras ⋮ Nonassociative unitary Banach algebras ⋮ Banach space characterizations of unitaries: a survey

Cites Work

• A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
• Über die Automorphismen Grassmannscher Mannigfaltigkeiten unendlicher Dimension
• Some characterizations of finite-dimensional Hilbert spaces
• Transitivity of the norm on Banach spaces having a Jordan structure
• Banach algebras with unitary norms
• On real forms of JB\(^*\)-triples
• The Daugavet property of \(C^{\ast}\)-algebras, \(JB^{\ast}\)-triples, and of their isometric preduals
• Spaces of compact operators
• Two characterizations of real Hilbert space
• Atomic decomposition of real JBW-triples
• An Analytic Characterization of Groups with no Finite Conjugacy Classes
• The Geometry of Convex Transitive Banach Spaces
• BANACH SPACES WHOSE ALGEBRAS OF OPERATORS ARE UNITARY: A HOLOMORPHIC APPROACH