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Banach-Saks property in some Banach sequence spaces

100%

Cui Y., Hudzik H., Płuciennik R.

Annales Polonici Mathematici

1996-1997

tom 65

nr 2

193-202

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.

Some Structures Related to Metric Projections in Orlicz Spaces

67%

Lin B.-L., Shi Z.

Colloquium Mathematicum

1999

tom 81

nr 2

223-235

We discuss k-rotundity, weak k-rotundity, C-k-rotundity, weak C-k-rotundity, k-nearly uniform convexity, k-β property, C-I property, C-II property, C-III property and nearly uniform convexity both pointwise and global in Orlicz function spaces equipped with Luxemburg norm. Applications to continuity for the metric projection at a given point are given in Orlicz function spaces with Luxemburg norm.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

1 Cui Y.

1 Hudzik H.

1 Lin B.-L.

1 Płuciennik R.

1 Shi Z.

1 1999

1 1997

Wyniki wyszukiwania

Banach-Saks property in some Banach sequence spaces

Some Structures Related to Metric Projections in Orlicz Spaces