Proper 1-ball contractive retractions in spaces of measurable functions

Diana Caponetti, Trombetta, Giulio Trombetta

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6 Citazioni (Scopus)

Abstract

n this paper we consider the Wo´sko problem ([20]) of evaluating, in aninfinite-dimensional Banach space X, the infimum of all k \ge 1 for which thereexists a k-ball contractive retraction of the unit ball onto its boundary. Weprove that in some classical Banach spaces the best possible value 1 is attained.Moreover we give estimates of the lower H-measure of noncompactness of theretractions we construct.
Lingua originaleEnglish
pagine (da-a)299-315
Numero di pagine17
RivistaBulletin of the Australian Mathematical Society
Volume72
Stato di pubblicazionePublished - 2005

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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