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A modulus for property (β) of Rolewicz

100%

Ayerbe J. M., Domínguez Benavides T., Francisco Cutillas S.

Colloquium Mathematicum

1997

tom 73

nr 2

183-191

We define a modulus for the property (β) of Rolewicz and study some useful properties in fixed point theory for nonexpansive mappings. Moreover, we calculate this modulus in $l^p$ spaces for the main measures of noncompactness.

Banach-Saks property in some Banach sequence spaces

86%

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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

1 Ayerbe J. M.

1 Cui Y.

1 Domínguez Benavides T.

1 Francisco Cutillas S.

1 Hudzik H.

1 Płuciennik R.

2 1997

Wyniki wyszukiwania

A modulus for property (β) of Rolewicz

Banach-Saks property in some Banach sequence spaces