# Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm

Commentationes Mathematicae Universitatis Carolinae (1990)

- Volume: 031, Issue: 4, page 661-684
- ISSN: 0010-2628

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topHudzik, Henryk, and Ye, Yi Ning. "Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm." Commentationes Mathematicae Universitatis Carolinae 031.4 (1990): 661-684. <http://eudml.org/doc/17888>.

@article{Hudzik1990,

abstract = {Support functionals in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm are completely characterized. An explicit formula for regular support functionals is given. For obtaining a characterization of singular support functionals a generalized Banach limit is applied. Some necessary and sufficient conditions for smooothness
of these spaces are given, too.},

author = {Hudzik, Henryk, Ye, Yi Ning},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {Musielak-Orlicz spaces; support functionals; smoothness; Support functionals in Musiełak-Orlicz sequence spaces endowed with the Luxemburg norm; regular support functionals; singular support functionals; generalized Banach limit; smoothness},

language = {eng},

number = {4},

pages = {661-684},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm},

url = {http://eudml.org/doc/17888},

volume = {031},

year = {1990},

}

TY - JOUR

AU - Hudzik, Henryk

AU - Ye, Yi Ning

TI - Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1990

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 031

IS - 4

SP - 661

EP - 684

AB - Support functionals in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm are completely characterized. An explicit formula for regular support functionals is given. For obtaining a characterization of singular support functionals a generalized Banach limit is applied. Some necessary and sufficient conditions for smooothness
of these spaces are given, too.

LA - eng

KW - Musielak-Orlicz spaces; support functionals; smoothness; Support functionals in Musiełak-Orlicz sequence spaces endowed with the Luxemburg norm; regular support functionals; singular support functionals; generalized Banach limit; smoothness

UR - http://eudml.org/doc/17888

ER -

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## Citations in EuDML Documents

top- Henryk Hudzik, Yi Ning Ye, Correction to the paper: Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm
- Henryk Hudzik, Zenon Zbąszyniak, Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm
- Harold Bevan Thompson, Yunan Cui, The fixed point property in Musielak-Orlicz sequence spaces
- Ghassan Alherk, Henryk Hudzik, Copies of ${l}^{1}$ and ${c}_{o}$ in Musielak-Orlicz sequence spaces
- Yunan Cui, Henryk Hudzik, Ryszard Płuciennik, Banach-Saks property in some Banach sequence spaces
- Zenon Zbąszyniak, Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm
- Henryk Hudzik, L. Wang, Ting Fu Wang, Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm

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