On unitary representability of topological groups

DOI10.1007/s00209-008-0461-zzbMath1176.43004arXivmath/0607193OpenAlexW2080095857MaRDI QIDQ834792

Jorge Galindo

Publication date: 27 August 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607193

zbMATH Keywords

unitary groupSchwartz spacepositive definite functionfree Abelian topological groupfree locally convex space\(\mathfrak{L}_\infty\)-Banach spacefree Banach spaceunitarily representable

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Metric spaces, metrizability (54E35) Topological groups (topological aspects) (54H11) Positive definite functions on groups, semigroups, etc. (43A35) Analysis on general topological groups (22A10)

Related Items (6)

On Hilbert dynamical systems ⋮ An exotic group as limit of finite special linear groups ⋮ Representations of Banach algebras subordinate to topologically introverted spaces ⋮ Unitarizability, Maurey-Nikishin factorization, and Polish groups of finite type ⋮ Polish groups of unitaries ⋮ Weakly almost periodic topologies, idempotents and ideals

Cites Work

• Set-functions and factorization
• Isometric embeddings of compact spaces into Banach spaces
• Uniform embeddings of metric spaces and of Banach spaces into Hilbert spaces
• Additive subgroups of topological vector spaces
• Compact semitopological semigroups and reflexive representability of topological groups
• Amenable representations and dynamics of the unit sphere in an infinite-dimensional Hilbert space
• Spaces of Lipschitz and Hölder functions and their applications
• On a problem of Smirnov
• Lipschitz-free Banach spaces
• On a universality property of some abelian Polish groups
• Free Abelian topological groups and the Pontryagin-Van Kampen duality
• On Schwartz groups
• A Simple Example of a Universal Schwartz Space
• Covering a compact set in a Banach space by an operator range of a Banach space with basis
• Metric Spaces and Positive Definite Functions
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