%0 Journal Article
%A Castillo, Jesús M.F.
%A García, R.
%A Jaramillo Aguado, Jesús Ángel
%T Extension of bilinear forms on Banach spaces
%D 2001
%@ 0002-9939
%U https://hdl.handle.net/20.500.14352/57581
%X 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.
%~