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Banach spaces with a supershrinking basis

100%

López G.

Studia Mathematica

1999

tom 132

nr 1

29-36

We prove that a Banach space X with a supershrinking basis (a special type of shrinking basis) without $c_0$ copies is somewhat reflexive (every infinite-dimensional subspace contains an infinite-dimensional reflexive subspace). Furthermore, applying the $c_0$-theorem by Rosenthal, it is proved that X contains order-one quasireflexive subspaces if X is not reflexive. Also, we obtain a characterization of the usual basis in $c_0$.

RNP and KMP are equivalent for some Banach spaces with shrinking basis

63%

López G., Mena J. F.

Studia Mathematica

1996

tom 118

nr 1

11-17

We get a characterization of PCP in Banach spaces with shrinking basis. Also, we prove that the Radon-Nikodym and Krein-Milman properties are equivalent for closed, convex and bounded subsets of some Banach spaces with shrinking basis.

Ograniczanie wyników

2 Studia Mathematica

2 López G.

1 Mena J. F.

1 1999

1 1996

Wyniki wyszukiwania

Banach spaces with a supershrinking basis

RNP and KMP are equivalent for some Banach spaces with shrinking basis