Using boundaries to find smooth norms
Victor Bible
Studia Mathematica, Tome 223 (2014), p. 169-181 / Harvested from The Polish Digital Mathematics Library
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The aim of this paper is to present a tool used to show that certain Banach spaces can be endowed with Ck smooth equivalent norms. The hypothesis uses particular countable decompositions of certain subsets of BX*, namely boundaries. Of interest is that the main result unifies two quite well known results. In the final section, some new corollaries are given.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:285604 
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Victor Bible. Using boundaries to find smooth norms. Studia Mathematica, Tome 223 (2014) pp. 169-181. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-2-5/