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Ball remotal subspaces of Banach spaces

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

Colloquium Mathematicum

2009

tom 114

nr 1

119-133

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).

Ograniczanie wyników

1 Colloquium Mathematicum

1 Bandyopadhyay P.

1 Lin B.-L.

1 Rao T.

1 2009

Wyniki wyszukiwania

Ball remotal subspaces of Banach spaces