Hilbert space as the space of retractions of an interval

DOI10.1007/BF01138727zbMath0648.46023OpenAlexW1982864231MaRDI QIDQ1105146

V. N. Basmanov, A. G. Savchenko

Publication date: 1987

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01138727

zbMATH Keywords

Hilbert spacecompact open topologyspace of retractions

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Inner product spaces and their generalizations, Hilbert spaces (46C99) Other topological algebraic systems and their representations (22A30)

Cites Work

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• On spaces of homeomorphisms, embeddings and functions. I
• Characterizing Hilbert space topology
• The Space of Retractions of a Compact Q-Manifold is an l 2 -Manifold
• Absolute retracts as factors of normed linear spaces
• Concerning the set of retractions

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