Displaying similar documents to “Complexification of the projective and injective tensor products”

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.

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...

Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind

Mića S. Stanković, Milan Lj. Zlatanović, Ljubica S. Velimirović (2010)

Czechoslovak Mathematical Journal

Similarity:

In this paper we define generalized Kählerian spaces of the first kind ( G K 1 N ) given by (2.1)–(2.3). For them we consider hollomorphically projective mappings with invariant complex structure. Also, we consider equitorsion geodesic mapping between these two spaces ( G K 1 N and G K ¯ 1 N ) and for them we find invariant geometric objects.