Vector measure Banach spaces containing a complemented copy of $c_{0}$

A Class of Hereditarily $ell_p(c_0)$ Banach spaces

We extend the class of Banach sequence spaces constructed by Ledari, as presented in ''A class of hereditarily $ell_1$ Banach spaces without Schur property'' and obtain a new class of hereditarily $ell_p(c_0)$ Banach spaces for $1leq p<infty$. Some other properties of this spaces are studied.

On quasi-complemented subspaces of banach spaces.

A characterization of banach spaces containing L.

It is proved that a Banach space contains a subspace isomorphic to l(1) if (and only if) it has a bounded sequence with no weak-Cauchy subsequence. The proof yields that a sequence of subsets of a given set has a subsequence that is either convergent or Boolean independent.

A Characterization of Banach Spaces Containing

A subsequence principle is obtained, characterizing Banach spacescontaining co' in the spirit of the author's 1974 characterization of Banachspaces containing II . Defiaition. A sequence(bj )in a Banach space is called strongly summing (s.s.)if (bj ) is a weak-Cauchy basic sequence so that whenever scalars (cj ) satisfysUPn II E~=I cijll < 00, thenECj converges.A...

Several New Characterizations of Banach Spaces Containing

Several new characterizations of Banach spaces containing a subspace isomorphic to , are obtained. These are applied to the question of when 1 embeds in the injective tensor product of two Banach spaces. Notations and terminology. All Banach spaces are taken as infinite dimensional, “subspace” means “closed linear subspace,” “operator” means “bounded linear operator.” If W is a subset of a Bana...