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Extension of bilinear forms on Banach spaces


Castillo, Jesús M.F. y García, R. y Jaramillo Aguado, Jesús Ángel (2001) Extension of bilinear forms on Banach spaces. Proceedings of the American Mathematical Society, 129 (12). pp. 3647-3656. ISSN 0002-9939

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We study the extension of bilinear and multilinear forms from a given subspace of a Banach space to the whole space. Precisely, an isomorphic embedding j : E --> X is said to be (linearly) N-exact if N-linear forms on E can be (linear and continuously) extended to X through j. We present some necessary and sufficient conditions for j to be 2-exact, as well as several examples of 2-exact embeddings. We answer a problem of Zalduendo: in a cotype 2 space bilinear extendable and integral forms coincide.

Tipo de documento:Artículo
Palabras clave:Bilinear forms; tensor product; cotype-2 space; embedding
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:16650

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