All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 2 Next

Displaying 21 – 40 of 78

Showing per page

Some Grothendieck's problems in the context of the αpq-tensor products.

Juan A. López Molina, María José Rivera Ortún (1990)

Extracta Mathematicae

The positive and negative results related to the problem of topologies of Grothendieck [2] have given many information on the projective and injective tensor products of Fréchet and DF-spaces. The purpose of this paper is to give some results about analogous questions in αpq-Lapresté's tensor products [4, chapitre 1] and in spaces of dominated operators Pietsch [5] for a class of Fréchet spaces having a certain kind of decomposition studied dy Bonet and Díaz [1] called T-decomposition. After that...

Some homological properties of Banach algebras associated with locally compact groups

Mehdi Nemati (2015)

Colloquium Mathematicae

We investigate some homological notions of Banach algebras. In particular, for a locally compact group G we characterize the most important properties of G in terms of some homological properties of certain Banach algebras related to this group. Finally, we use these results to study generalized biflatness and biprojectivity of certain products of Segal algebras on G.

Some properties of the Pisier-Zu interpolation spaces

A. Sersouri (1993)

Colloquium Mathematicae

For a closed subset I of the interval [0,1] we let A(I) = [v1(I),C(I)](1/2)2. We show that A(I) is isometric to a 1-complemented subspace of A(0,1), and that the Szlenk index of A(I) is larger than the Cantor index of I. We also investigate, for ordinals η < ω1, the bases structures of A(η), A*(η), and A * ( η ) [the isometric predual of A(η)]. All the results of this paper extend, with obvious changes in the proofs, to the interpolation spaces [ v 1 ( I ) , C ( I ) ] θ q .

Some properties of the tensor product of Schwartz εb-spaces.

Belmesnaoui Aqzzouz, M. Hassan el Alj, Redouane Nouira (2007)

RACSAM

We define the ε-product of an εb-space by quotient bornological spaces and we show that if G is a Schwartz εb-space and E|F is a quotient bornological space, then their εc-product Gεc(E|F) defined in [2] is isomorphic to the quotient bornological space (GεE)|(GεF).

Some results in representable Banach spaces.

Miguel Angel Canela (1988)

Publicacions Matemàtiques

Some results are presented, concerning a class of Banach spaces introduced by G. Godefroy and M. Talagrand, the representable Banach spaces. The main aspects considered here are the stability in forming tensor products, and the topological properties of the weak* dual unitball.

Spaces of continuous functions taking their values in the ε-product.

Belmesnaoui Aqzzouz (2005)

RACSAM

Para un b-espacio nuclear N y un b-espacio E demostramos que si X es un espacio compacto entonces los b-espacios C (X,NεE) y NεC (X,E) son isomorfos. El mismo resultado se verifica también si X es un espacio localmente compacto que es numerable en el infinito.

Currently displaying 21 – 40 of 78