Banach-Saks property in some Banach sequence spaces

Yunan Cui; Henryk Hudzik; Ryszard Płuciennik

Annales Polonici Mathematici (1997)

  • Volume: 65, Issue: 2, page 193-202
  • ISSN: 0066-2216

Abstract

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It is proved that for any Banach space X property (β) defined by Rolewicz in [22] implies that both X and X* have the Banach-Saks property. Moreover, in Musielak-Orlicz sequence spaces, criteria for the Banach-Saks property, the near uniform convexity, the uniform Kadec-Klee property and property (H) are given.

How to cite

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Yunan Cui, Henryk Hudzik, and Ryszard Płuciennik. "Banach-Saks property in some Banach sequence spaces." Annales Polonici Mathematici 65.2 (1997): 193-202. <http://eudml.org/doc/269983>.

@article{YunanCui1997,
abstract = {It is proved that for any Banach space X property (β) defined by Rolewicz in [22] implies that both X and X* have the Banach-Saks property. Moreover, in Musielak-Orlicz sequence spaces, criteria for the Banach-Saks property, the near uniform convexity, the uniform Kadec-Klee property and property (H) are given.},
author = {Yunan Cui, Henryk Hudzik, Ryszard Płuciennik},
journal = {Annales Polonici Mathematici},
keywords = {Banach-Saks property; property (β); nearly uniform convexity; uniform Kadec-Klee property; property (H); Musielak-Orlicz sequence space; property ; Musielak-Orlicz sequence spaces; near uniform convexity; property },
language = {eng},
number = {2},
pages = {193-202},
title = {Banach-Saks property in some Banach sequence spaces},
url = {http://eudml.org/doc/269983},
volume = {65},
year = {1997},
}

TY - JOUR
AU - Yunan Cui
AU - Henryk Hudzik
AU - Ryszard Płuciennik
TI - Banach-Saks property in some Banach sequence spaces
JO - Annales Polonici Mathematici
PY - 1997
VL - 65
IS - 2
SP - 193
EP - 202
AB - It is proved that for any Banach space X property (β) defined by Rolewicz in [22] implies that both X and X* have the Banach-Saks property. Moreover, in Musielak-Orlicz sequence spaces, criteria for the Banach-Saks property, the near uniform convexity, the uniform Kadec-Klee property and property (H) are given.
LA - eng
KW - Banach-Saks property; property (β); nearly uniform convexity; uniform Kadec-Klee property; property (H); Musielak-Orlicz sequence space; property ; Musielak-Orlicz sequence spaces; near uniform convexity; property
UR - http://eudml.org/doc/269983
ER -

References

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