Universidad Complutense de Madrid
E-Prints Complutense

Extension of polynomials defined on subspaces.



Downloads per month over past year

Fernandez Unzueta, Maite and Prieto Yerro, M. Ángeles (2010) Extension of polynomials defined on subspaces. Mathematical Proceedings of the Cambridge Philosophical Society, 148 (3). pp. 505-518. ISSN 0305-0041

[img] PDF
Restringido a Repository staff only


Official URL: http://journals.cambridge.org/abstract_S0305004110000022



Let k is an element of N and let E be a Banach space such that every k-homogeneous polynomial defined on a subspace of E has an extension to E. We prove that every norm one k-homogeneous polynomial, defined on a subspace, has an extension with a uniformly bounded norm. The analogous result for holomorphic functions of bounded type is obtained. We also prove that given an arbitrary subspace F subset of E. there exists a continuous morphism phi(k,F) : P((k)F) -> P((k)E) satisfying phi(k,F)(P)vertical bar(F) = P, if and only E is isomorphic to a Hilbert space.

Item Type:Article
Uncontrolled Keywords:Homogeneous polynomial; Holomorphic functions of bounded type; Extension theorems; Extension morphism
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:17522
Deposited On:21 Dec 2012 11:52
Last Modified:07 Sep 2018 15:37

Origin of downloads

Repository Staff Only: item control page