Countable groups of isometries on Banach spaces

DOI10.1090/S0002-9947-10-05034-8zbMath1208.46008arXiv0706.3861OpenAlexW2062580008MaRDI QIDQ3581145

Elói Medina Galego, Valentin Ferenczi

Publication date: 16 August 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3861

zbMATH Keywords

representationBanach spacecomplex structurecountable groupgroup of isometries on Banach spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Isometric theory of Banach spaces (46B04)

Related Items (12)

Similarities and differences between real and complex Banach spaces: an overview and recent developments ⋮ Complex structures on Banach spaces with a subsymmetric basis ⋮ Surjective isometries on Banach sequence spaces: a survey ⋮ On isometry groups and maximal symmetry ⋮ On typical properties of Hilbert space operators ⋮ Complex structures on twisted Hilbert spaces ⋮ There is no largest proper operator ideal ⋮ The Rochberg garden ⋮ A Banach space with a countable infinite number of complex structures ⋮ Projective and Direct limits of Banach $G$ and tensor structures ⋮ Light groups of isomorphisms of Banach spaces and invariant LUR renormings ⋮ Renorming AM-spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Banach spaces with trivial isometries
• Dentability indices and locally uniformly convex renormings
• Any Banach space has an equivalent norm with trivial isometries
• \(C_ 0\)-groups and \(C_ 0\)-semigroups of linear operators on hereditarily indecomposable Banach spaces
• Uniqueness of complex structure and real hereditarily indecomposable Banach spaces
• Even infinite-dimensional real Banach spaces
• Classical Banach spaces
• The Unconditional Basic Sequence Problem
• Real Isomorphic Complex Banach Spaces Need not be Complex Isomorphic
• Le groupe des isométries d'un espace de Banach
• Subspaces of $L_p$ with more than one complex structure
• An Elementary Example of a Banach Space not Isomorphic to its Complex Conjugate
• Decompositions for real Banach spaces with small spaces of operators
• Complex Structures on Real Banach Spaces
• Uniqueness of (\(\Delta\)) bases and isometries of Banach spaces

This page was built for publication: Countable groups of isometries on Banach spaces