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

Título inglés	Some Grothendieck's problems in the context of the αpq-tensor products.
Título español	Algunos problemas de Grothendieck en el contexto de los productos tensoriales αpq.
Autor/es	López Molina, Juan A. ; Rivera Ortún, María José
Organización	Dep. Mat. Apl. Univ. Politéc. Valencia, Valencia, España
Revista	0213-8743
Publicación	1990, 5 (2): 65-67, 5 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	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 we present the main results in order to give positive answers to the following problems: P1) To localize the bounded sets in Eα Ä F. P2) If E and F are DF-spaces, is Eα'pq Ä F a DF-space?
Clasificación UNESCO	120225
Palabras clave español	Producto tensorial ; Espacios localmente convexos ; Espacio de Grothendieck ; Ideal de operadores
Código Z-Math	Zbl pre05143458
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