On Property β of Rolewicz in Köthe–Bochner Function Spaces

Kolwicz, P.

doi:10.4064/ba53-1-7

Artykuł - szczegóły

Tytuł artykułu

On Property β of Rolewicz in Köthe–Bochner Function Spaces

Autorzy

Kolwicz P.

Wybrane pełne teksty z tego czasopisma

http://www.impan.pl/en/publishing-house/journals-and-series/bulletin-polish-acad-sci-math

Identyfikatory

DOI

10.4064/ba53-1-7

Warianty tytułu

Języki publikacji

Abstrakty

It is proved that the Köthe–Bochner function space E(X) has property β if and only if X is uniformly convex and E has property β. In particular, property β does not lift from X to E(X) in contrast to the case of Köthe–Bochner sequence spaces.

Słowa kluczowe

Köthe-Bochner space property Beta uniform convexity orthogonal uniform convexity uniform monotonicity

przestrzeń Kothego-Bochnera własność Beta wypukłość jednostajna monotoniczność jednostajna

Wydawca

Instytut Matematyczny PAN

Czasopismo

Bulletin of the Polish Academy of Sciences. Mathematics

Rocznik

2005

Tom

Vol. 53, no 1

Strony

75--85

Opis fizyczny

Bibliogr. 27 poz.

Twórcy

autor

Kolwicz P.

Institute of Mathematics, Electrical Engineering Faculty, University of Technology, Piotrowo 3a, 60-965 Poznań, Poland, kolwicz@math.put.poznan.pl

Bibliografia

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Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-article-BAT5-0005-0096