Coefficient of orthogonal convexity of some Banach function spaces

Paweł Kolwicz; Stefan Rolewicz

Studia Mathematica (2004)

  • Volume: 164, Issue: 2, page 121-138
  • ISSN: 0039-3223

Abstract

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We study orthogonal uniform convexity, a geometric property connected with property (β) of Rolewicz, P-convexity of Kottman, and the fixed point property (see [19, [20]). We consider the coefficient of orthogonal convexity in Köthe spaces and Köthe-Bochner spaces.

How to cite

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Paweł Kolwicz, and Stefan Rolewicz. "Coefficient of orthogonal convexity of some Banach function spaces." Studia Mathematica 164.2 (2004): 121-138. <http://eudml.org/doc/284765>.

@article{PawełKolwicz2004,
abstract = {We study orthogonal uniform convexity, a geometric property connected with property (β) of Rolewicz, P-convexity of Kottman, and the fixed point property (see [19, [20]). We consider the coefficient of orthogonal convexity in Köthe spaces and Köthe-Bochner spaces.},
author = {Paweł Kolwicz, Stefan Rolewicz},
journal = {Studia Mathematica},
keywords = {Köthe–Bochner space; Orlicz space; uniform convexity; uniform monotonicity; orthogonal uniform convexity; superreflexivity},
language = {eng},
number = {2},
pages = {121-138},
title = {Coefficient of orthogonal convexity of some Banach function spaces},
url = {http://eudml.org/doc/284765},
volume = {164},
year = {2004},
}

TY - JOUR
AU - Paweł Kolwicz
AU - Stefan Rolewicz
TI - Coefficient of orthogonal convexity of some Banach function spaces
JO - Studia Mathematica
PY - 2004
VL - 164
IS - 2
SP - 121
EP - 138
AB - We study orthogonal uniform convexity, a geometric property connected with property (β) of Rolewicz, P-convexity of Kottman, and the fixed point property (see [19, [20]). We consider the coefficient of orthogonal convexity in Köthe spaces and Köthe-Bochner spaces.
LA - eng
KW - Köthe–Bochner space; Orlicz space; uniform convexity; uniform monotonicity; orthogonal uniform convexity; superreflexivity
UR - http://eudml.org/doc/284765
ER -

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