On bases and unconditional convergence of series in Banach spaces

C. Bessaga; A. Pełczyński

Displaying similar documents to “On bases and unconditional convergence of series in Banach spaces”

Existence of some special bases in Banach spaces

P. Wojtaszczyk (1973)

Studia Mathematica

Similarity:

Subspaces of $L_{p}$ which embed into $l_{p}$

W. B. Johnson, E. Odell (1974)

Compositio Mathematica

Similarity:

Classification, through coordinates, of M-bases in separable Banach spaces.

Esteban Induráin (1988)

Collectanea Mathematica

Similarity:

Unconditional and normalised bases

N. Kalton (1970)

Studia Mathematica

Similarity:

On unconditional bases in certain Banach function spaces

J. Shirey, R. Zink (1970)

Studia Mathematica

Similarity:

Some remarks on symmetric basic sequences in L1

B. Maurey, G. Schechtman (1979)

Compositio Mathematica

Similarity:

Uniqueness of unconditional bases of $c_{0} (l_{p})$ , 0 < p < 1

C. Leránoz (1992)

Studia Mathematica

Similarity:

We prove that if 0 < p < 1 then a normalized unconditional basis of a complemented subspace of $c_{0} (l_{p})$ must be equivalent to a permutation of a subset of the canonical unit vector basis of $c_{0} (l_{p})$ . In particular, $c_{0} (l_{p})$ has unique unconditional basis up to permutation. Bourgain, Casazza, Lindenstrauss, and Tzafriri have previously proved the same result for $c_{0} (l ₁)$ .

A normalized weakly null sequence with no shrinking subsequence in a Banach space not containing $ℓ_{1}$

E. Odell (1980)

Compositio Mathematica

Similarity:

On non-equivalent bases and conditional bases in Banach spaces

A. Pełczyński, I. Singer (1964)

Studia Mathematica

Similarity:

On Banach spaces X for which $Π_{2} (ℒ_{\infty}, X) = B (ℒ_{\infty}, X)$

Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)

Studia Mathematica

Similarity: