On the problem of retracting balls onto their boundary

We provide some new estimates of the smallest possible Lipschitz constant for retractions of the unit ball B onto the unit sphere S in infinite-dimensional Banach spaces.

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Main Author: Kazimierz Goebel
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337503204103
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author Kazimierz Goebel
author_facet Kazimierz Goebel
author_sort Kazimierz Goebel
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description We provide some new estimates of the smallest possible Lipschitz constant for retractions of the unit ball B onto the unit sphere S in infinite-dimensional Banach spaces.
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institution Kabale University
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spelling doaj-art-2ad6d6111abc43b78b7ed25e3b98624f2025-08-20T03:54:42ZengWileyAbstract and Applied Analysis1085-33751687-04092003-01-012003210111010.1155/S1085337503204103On the problem of retracting balls onto their boundaryKazimierz Goebel0Instytut Matematyki, Universytet M. Curie–Skłodowskiej (UMCS), Lublin 20-031, PolandWe provide some new estimates of the smallest possible Lipschitz constant for retractions of the unit ball B onto the unit sphere S in infinite-dimensional Banach spaces.http://dx.doi.org/10.1155/S1085337503204103
spellingShingle Kazimierz Goebel
On the problem of retracting balls onto their boundary
Abstract and Applied Analysis
title On the problem of retracting balls onto their boundary
title_full On the problem of retracting balls onto their boundary
title_fullStr On the problem of retracting balls onto their boundary
title_full_unstemmed On the problem of retracting balls onto their boundary
title_short On the problem of retracting balls onto their boundary
title_sort on the problem of retracting balls onto their boundary
url http://dx.doi.org/10.1155/S1085337503204103
work_keys_str_mv AT kazimierzgoebel ontheproblemofretractingballsontotheirboundary