Properties of the Holmes space

DOI10.1016/j.topol.2008.03.008zbMath1172.46008OpenAlexW2038503261MaRDI QIDQ935265

Przemysław Wojtaszczyk, Vladimir P. Fonf

Publication date: 6 August 2008

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2008.03.008

zbMATH Keywords

Urysohn metric spacemetric approximation propertyextreme points, finite dimensional decompositionHolmes space

Mathematics Subject Classification ID

Complete metric spaces (54E50) Classical Banach spaces in the general theory (46B25)

Related Items (8)

Completeness of the isomorphism problem for separable \(C^\ast\)-algebras ⋮ Structure of the Lipschitz free \(p\)-spaces \(\mathcal{F}_p (\mathbb{Z}^d)\) and \(\mathcal{F}_p (\mathbb{R}^d)\) for \(0<p\leq 1\) ⋮ Lipschitz-free spaces over Cantor sets and approximation properties ⋮ Lipschitz-free spaces over manifolds and the metric approximation property ⋮ The metric approximation property and Lipschitz-free spaces over subsets of \(\mathbb{R}^N\) ⋮ Polish groups and Baire category methods ⋮ Universal and homogeneous structures on the Urysohn and Gurarij spaces ⋮ On the structure of Lipschitz-free spaces

Cites Work

• The Gurarij spaces are unique
• On separable Lindenstrauss spaces
• On Banach spaces whose duals are \(L_ 1\) spaces
• Banach spaces whose duals are \(L_ 1\) spaces and their representing matrices
• Lipschitz-free Banach spaces
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