L'Application Canonique $J:H^2(X) \otimes H^2(X)->H^1(X\otimes X)$ n'est pas Surjective en Général

Details L'Application Canonique $J:H^2(X) \otimes H^2(X)->H^1(X\otimes X)$ n'est pas Surjective en Général L'Application Canonique $J:H^2(X) \otimes H^2(X)->H^1(X\otimes X)$ n'est pas Surjective en Général

2004-01-24

arxiv.org/abs/math/0401335v1

C.R. Acad. Sci. Paris t.307, Serie I, (1988), 949-953

Mathematics

Functional Analysis

9 pages, French with abridged english version

Scientific paper

We introduce the $H^1$-projective property, and use it to construct a Banach
space $X$ such that the natural map
$J:H^2(X)\otimes H^2(X) -> H^1(X\otimes X)$ is not onto.

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