Extension of vector-valued integral polynomials |
| |
Authors: | Daniel Carando |
| |
Affiliation: | a Departamento de Matemática, Universidad de San Andrés, Vito Dumas 284 (B1644BID) Victoria, Buenos Aires, Argentina b Departamento de Matemática - Pab I, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina |
| |
Abstract: | We study the extendibility of integral vector-valued polynomials on Banach spaces. We prove that an X-valued Pietsch-integral polynomial on E extends to an X-valued Pietsch-integral polynomial on any space F containing E, with the same integral norm. This is not the case for Grothendieck-integral polynomials: they do not always extend to X-valued Grothendieck-integral polynomials. However, they are extendible to X-valued polynomials. The Aron-Berner extension of an integral polynomial is also studied. A canonical integral representation is given for domains not containing ?1. |
| |
Keywords: | Integral polynomials Extendibility |
本文献已被 ScienceDirect 等数据库收录! |
|