Some Convexity properties in Musielak-Orlicz sequence spaces endowed with the Luxemburg Norm

Satit Saejung

Commentationes Mathematicae (2005)

  • Volume: 45, Issue: 1
  • ISSN: 2080-1211

Abstract

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Criteria for k-strict convexity, uniform convexity in every direction, property K, property H, and property G in Musielak-Orlicz sequence spaces and their subspaces endowed with the Luxemburg norm are presented. In particular, we obtain a characterization of such properties of Nakano sequence spaces.

How to cite

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Satit Saejung. "Some Convexity properties in Musielak-Orlicz sequence spaces endowed with the Luxemburg Norm." Commentationes Mathematicae 45.1 (2005): null. <http://eudml.org/doc/291987>.

@article{SatitSaejung2005,
abstract = {Criteria for k-strict convexity, uniform convexity in every direction, property K, property H, and property G in Musielak-Orlicz sequence spaces and their subspaces endowed with the Luxemburg norm are presented. In particular, we obtain a characterization of such properties of Nakano sequence spaces.},
author = {Satit Saejung},
journal = {Commentationes Mathematicae},
keywords = {k-strict convexity; uniform convexity in every direction; property K; property H; and property G; Musielak-Orlicz sequence space},
language = {eng},
number = {1},
pages = {null},
title = {Some Convexity properties in Musielak-Orlicz sequence spaces endowed with the Luxemburg Norm},
url = {http://eudml.org/doc/291987},
volume = {45},
year = {2005},
}

TY - JOUR
AU - Satit Saejung
TI - Some Convexity properties in Musielak-Orlicz sequence spaces endowed with the Luxemburg Norm
JO - Commentationes Mathematicae
PY - 2005
VL - 45
IS - 1
SP - null
AB - Criteria for k-strict convexity, uniform convexity in every direction, property K, property H, and property G in Musielak-Orlicz sequence spaces and their subspaces endowed with the Luxemburg norm are presented. In particular, we obtain a characterization of such properties of Nakano sequence spaces.
LA - eng
KW - k-strict convexity; uniform convexity in every direction; property K; property H; and property G; Musielak-Orlicz sequence space
UR - http://eudml.org/doc/291987
ER -

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