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The Banach space S is complementably minimal and subsequentially prime

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Androulakis G., Schlumprecht T.

Studia Mathematica

2003

tom 156

nr 3

227-242

We first include a result of the second author showing that the Banach space S is complementably minimal. We then show that every block sequence of the unit vector basis of S has a subsequence which spans a space isomorphic to its square. By the Pełczyński decomposition method it follows that every basic sequence in S which spans a space complemented in S has a subsequence which spans a space isomorphic to S (i.e. S is a subsequentially prime space).

Ograniczanie wyników

1 Studia Mathematica

1 Androulakis G.

1 Schlumprecht T.

1 2003

Wyniki wyszukiwania

The Banach space S is complementably minimal and subsequentially prime