Displaying similar documents to “The associated tensor norm to ( q , p ) -absolutely summing operators on C ( K ) -spaces”

Coincidence of topologies on tensor products of Köthe echelon spaces

J. Bonet, A. Defant, A. Peris, M. Ramanujan (1994)

Studia Mathematica

Similarity:

We investigate conditions under which the projective and the injective topologies coincide on the tensor product of two Köthe echelon or coechelon spaces. A major tool in the proof is the characterization of the επ-continuity of the tensor product of two diagonal operators from l p to l q . Several sharp forms of this result are also included.

Copies of l in tensor products.

Fernando Blasco (2000)

Extracta Mathematicae

Similarity:

The problem of finding complemented copies of l in another space is a classical problem in Functional Analysis and has been studied from different points of view in the literature. Here we pay attention to complementation of l in an n-fold tensor product of l spaces because we were lead to that result in the study of Grothendieck's Problème des topologies as we shall comment later.

On applications of the Yano–Ako operator

A. Magden, Arif A. Salimov (2006)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

In this paper we consider a method by which a skew-symmetric tensor field of type (1,2) in M n can be extended to the tensor bundle T q 0 ( M n ) ( q > 0 ) on the The results obtained are to some extend similar to results previously established for cotangent bundles T 1 0 ( M n ) . However, there are various important differences and it appears that the problem of lifting tensor fields of type (1,2) to the tensor bundle T q 0 ( M n ) ( q > 1 ) on the presents difficulties which are not encountered in the...

Some classes of multilinear operators on C(K) spaces

Fernando Bombal, Maite Fernández, Ignacio Villanueva (2001)

Studia Mathematica

Similarity:

We obtain a classification of projective tensor products of C(K) spaces according to whether none, exactly one or more than one factor contains copies of ℓ₁, in terms of the behaviour of certain classes of multilinear operators on the product of the spaces or the verification of certain Banach space properties of the corresponding tensor product. The main tool is an improvement of some results of Emmanuele and Hensgen on the reciprocal Dunford-Pettis and Pełczyński's (V) properties of...