RT Journal Article
T1 Extension of bilinear forms on Banach spaces
A1 Castillo, Jesús M.F.
A1 García, R.
A1 Jaramillo Aguado, Jesús Ángel
AB 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.
PB American Mathematical Society
SN 0002-9939
YR 2001
FD 2001
LK https://hdl.handle.net/20.500.14352/57581
UL https://hdl.handle.net/20.500.14352/57581
LA eng
NO DGICYT
DS Docta Complutense
RD 9 abr 2025