The unit ball of the Hilbert space in its weak topology

DOI10.1090/S0002-9939-06-08527-3zbMath1119.46021arXiv0903.0154MaRDI QIDQ3420056

Antonio Avilés López

Publication date: 1 February 2007

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

Full work available at URL: https://arxiv.org/abs/0903.0154

zbMATH Keywords

weak topologyHilbert spaceequivalent norm\(\ell_p\) spacesuniform Eberlein compactpolyadic space

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Categorical methods in general topology (54B30) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Compactness in Banach (or normed) spaces (46B50) Nonseparable Banach spaces (46B26)

Related Items (6)

On automorphisms of the Banach space $\ell _\infty /c_0$ ⋮ Li-Yorke chaos in weak topology of the \(n\)-dimensional linear systems ⋮ The number of weakly compact convex subsets of the Hilbert space ⋮ Hilbert generated Banach spaces need not have a norming Markushevich basis ⋮ Compactness in Banach space theory -- selected problems ⋮ Notions of compactness for special subsets of ℝ^I and some weak forms of the axiom of choice

Cites Work

• Embedding weakly compact sets into Hilbert space
• Continuous images of weakly compact subsets of Banach spaces
• Polyadic spaces of countable tightness
• Applications of some results of infinite-dimensional topology to the topological classification of operator images
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