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Some Structures Related to Metric Projections in Orlicz Spaces

100%

Lin B.-L., Shi Z.

Colloquium Mathematicum

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1999

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tom 81

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nr 2

223-235

EN

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.

2

Ball remotal subspaces of Banach spaces

81%

Bandyopadhyay P., Lin B.-L., Rao T.

Colloquium Mathematicum

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2009

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tom 114

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nr 1

119-133

EN

We study Banach spaces X with subspaces Y whose unit ball is densely remotal in X. We show that for several classes of Banach spaces, the unit ball of the space of compact operators is densely remotal in the space of bounded operators. We also show that for several classical Banach spaces, the unit ball is densely remotal in the duals of higher even order. We show that for a separable remotal set E ⊆ X, the set of Bochner integrable functions with values in E is a remotal set in L¹(μ,X).

3

Projections on Banach spaces with symmetric bases

60%

Casazza P. G., Lin B.-L.

Studia Mathematica

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1974-1975

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tom 52

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nr 2

189-193

Ograniczanie wyników

2 Colloquium Mathematicum

1 Studia Mathematica

3 Lin B.-L.

1 Bandyopadhyay P.

1 Casazza P. G.

1 Rao T.

1 Shi Z.

1 2009

1 1999

1 1974

Some Structures Related to Metric Projections in Orlicz Spaces

Ball remotal subspaces of Banach spaces

Projections on Banach spaces with symmetric bases