Isometries on extremely non-complex Banach spaces

DOI10.1017/S1474748010000204zbMath1221.46012arXiv0901.1512OpenAlexW2151098955MaRDI QIDQ2999441

Miguel Martín, Piotr Koszmider, Javier Merí

Publication date: 13 May 2011

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.1512

zbMATH Keywords

complex structuresurjective isometriesBanach spaces of continuous functionsDaugavet equationfew operatorsextremely non-complex

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04) Duality and reflexivity in normed linear and Banach spaces (46B10) Peculiar topological spaces (54G99)

Related Items (9)

Complex structures on Banach spaces with a subsymmetric basis ⋮ Complex structures on real vector lattices ⋮ A Banach space \(C(K)\) reading the dimension of \(K\) ⋮ Approximately norm-unital products on \(C^{\ast}\)-algebras, and a non-associative Gelfand-Naimark theorem ⋮ Extremely non-complex Banach spaces ⋮ A Banach space with a countable infinite number of complex structures ⋮ Algebraic and invariance properties of the group of isometries ⋮ A survey on Banach spaces \(C(K)\) with few operators ⋮ Algebraic and topological properties of the group of isometries on classes of vector valued function spaces

Cites Work

• Unnamed Item
• The group of isometries of a Banach space and duality
• Banach spaces of continuous functions with few operators
• Uniqueness of complex structure and real hereditarily indecomposable Banach spaces
• Even infinite-dimensional real Banach spaces
• Extremely non-complex \(C(K)\)spaces
• Banach spaces with the Daugavet property
• Norm equalities for operators on Banach spaces
• Complex Structures on Real Banach Spaces

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