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Extension of bilinear forms on Banach spaces
- Publication Year :
- 2023
-
Abstract
- 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.<br />DGICYT<br />Depto. de Análisis Matemático y Matemática Aplicada<br />Fac. de Ciencias Matemáticas<br />TRUE<br />pub
Details
- Database :
- OAIster
- Notes :
- application/pdf, 0002-9939, English
- Publication Type :
- Electronic Resource
- Accession number :
- edsoai.on1413946208
- Document Type :
- Electronic Resource