On separation of points from additive subgroups of Banach spaces by continuous characters and positive definite functions

DOI10.1007/s11117-007-2009-6zbMath1146.43003OpenAlexW2077660452MaRDI QIDQ931383

Wojciech Banaszczyk, Robert Stegliński

Publication date: 25 June 2008

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-007-2009-6

zbMATH Keywords

positive definite functionsHilbert-Schmidt operatorsadditive subgroups of Banach spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (2)

On separation of points from additive subgroups of $l_{p}^{n}$ by linear functionals and positive definite functions ⋮ On a certain class of positive definite functions and measures on locally compact abelian groups and inner-product spaces

Cites Work

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• Characterization of nuclear spaces by means of additive subgroups
• On the existence of exotic Banach-Lie groups
• Additive subgroups of topological vector spaces
• Inequalities for convex bodies and polar reciprocal lattices in \(\mathbb{R}^ n\)
• Inequalities for convex bodies and polar reciprocal lattices in \(\mathbb{R}^ n\). II: Application of \(K\)-convexity
• Closed subgroups of nuclear spaces are weakly closed
• Quotient groups of non-nuclear spaces for which the Bochner theorem fails completely

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