WORTH property, García-Falset coefficient and Opial property of infinite sums

Jan-David Hardtke

Commentationes Mathematicae (2015)

  • Volume: 55, Issue: 1
  • ISSN: 2080-1211

Abstract

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We prove some results concerning the WORTH property and the García-Falset coefficient of absolute sums of infinitely many Banach spaces. Also, the Opial property/uniform Opial property of infinite p -sums is studied, and some properties analogous to the Opial property/uniform Opial property are discussed for LebesgueBochner spaces L p ( μ , X ) .

How to cite

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Jan-David Hardtke. "WORTH property, García-Falset coefficient and Opial property of infinite sums." Commentationes Mathematicae 55.1 (2015): null. <http://eudml.org/doc/292363>.

@article{Jan2015,
abstract = {We prove some results concerning the WORTH property and the García-Falset coefficient of absolute sums of infinitely many Banach spaces. Also, the Opial property/uniform Opial property of infinite $\ell ^p$-sums is studied, and some properties analogous to the Opial property/uniform Opial property are discussed for LebesgueBochner spaces $L^p(\mu ,X)$.},
author = {Jan-David Hardtke},
journal = {Commentationes Mathematicae},
keywords = {Opial property; uniform Opial property; WORTH property; García-Falset coefficient; absolute sums; fixed point property; Lebesgue-Bochner spaces},
language = {eng},
number = {1},
pages = {null},
title = {WORTH property, García-Falset coefficient and Opial property of infinite sums},
url = {http://eudml.org/doc/292363},
volume = {55},
year = {2015},
}

TY - JOUR
AU - Jan-David Hardtke
TI - WORTH property, García-Falset coefficient and Opial property of infinite sums
JO - Commentationes Mathematicae
PY - 2015
VL - 55
IS - 1
SP - null
AB - We prove some results concerning the WORTH property and the García-Falset coefficient of absolute sums of infinitely many Banach spaces. Also, the Opial property/uniform Opial property of infinite $\ell ^p$-sums is studied, and some properties analogous to the Opial property/uniform Opial property are discussed for LebesgueBochner spaces $L^p(\mu ,X)$.
LA - eng
KW - Opial property; uniform Opial property; WORTH property; García-Falset coefficient; absolute sums; fixed point property; Lebesgue-Bochner spaces
UR - http://eudml.org/doc/292363
ER -

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