A remark on the retracting of a ball onto a sphere in an infinite dimensional Hilbert space.

DOI10.7146/MATH.SCAND.A-12334zbMath0754.46017OpenAlexW330303185MaRDI QIDQ3978142

Tomasz Komorowski, Jacek Wośko

Publication date: 25 June 1992

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167135

zbMATH Keywords

existence of a lipschitzian retraction of a unit ball onto a unit sphere

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (4)

A note on minimal displacement and retraction problems ⋮ Lipschitz retractions onto sphere vs spherical cup in a Hilbert space ⋮ Why and how much Brouwer's fixed point theorem fails in noncompact setting? ⋮ The retraction constant in some Banach spaces

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