Using boundaries to find smooth norms

• Autorzy: Victor Bible
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to present a tool used to show that certain Banach spaces can be endowed with $C^k$ smooth equivalent norms. The hypothesis uses particular countable decompositions of certain subsets of $B_{X*}$, namely boundaries. Of interest is that the main result unifies two quite well known results. In the final section, some new corollaries are given.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B03: Isomorphic theory (including renorming) of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 224
• Numer: 2
• Strony: 169-181

Daty

wydano

2014

Twórcy

autor

Victor Bible

• UCD School of Mathematical Sciences, Belfield, Dublin 4, Ireland

Identyfikatory

DOI

10.4064/sm224-2-5