Complementation in spaces of symmetric tensor products and polynomials.

Fernando Blasco

Displaying similar documents to “Complementation in spaces of symmetric tensor products and polynomials.”

Some applications of projective tensor products to holomorphy.

José M. Ansemi, Socorro Ponte (2000)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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Quasinormable spaces of polynomials.

José M. Ansemil (1997)

Extracta Mathematicae

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The symmetric tensor product of a direct sum of locally convex spaces

José Ansemil, Klaus Floret (1998)

Studia Mathematica

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An explicit representation of the n-fold symmetric tensor product (equipped with a natural topology τ such as the projective, injective or inductive one) of the finite direct sum of locally convex spaces is presented. The formula for $⨂_{τ, s}^{n} (F_{1} ⨁ F_{2})$ gives a direct proof of a recent result of Díaz and Dineen (and generalizes it to other topologies τ) that the n-fold projective symmetric and the n-fold projective “full” tensor product of a locally convex space E are isomorphic if E is isomorphic to...

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

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

Extracta Mathematicae

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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 α_pq-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...