Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces
A. Pełczyński, P. Wojtaszczyk (1971)
Studia Mathematica
Similarity:
A. Pełczyński, P. Wojtaszczyk (1971)
Studia Mathematica
Similarity:
Catherine Finet (1988)
Studia Mathematica
Similarity:
I. Singer (1968)
Studia Mathematica
Similarity:
Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)
Studia Mathematica
Similarity:
A. Pełczyński (1971)
Studia Mathematica
Similarity:
Jesús Bastero, Zenaida Uriz (1986)
Compositio Mathematica
Similarity:
Ginés López (1999)
Studia Mathematica
Similarity:
We prove that a Banach space X with a supershrinking basis (a special type of shrinking basis) without copies is somewhat reflexive (every infinite-dimensional subspace contains an infinite-dimensional reflexive subspace). Furthermore, applying the -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 .
I. Singer (1962)
Studia Mathematica
Similarity:
A. Pełczyński, I. Singer (1964)
Studia Mathematica
Similarity:
Esteban Induráin (1988)
Collectanea Mathematica
Similarity: