Universidad Complutense de Madrid
E-Prints Complutense

Estimates by polynomials

Impacto

Descargas

Último año

Llavona, José G. y Aron, R. M. y Choi, Y.S. (1995) Estimates by polynomials. Bulletin of the Australian Mathematical Society, 52 (3 ). 475-486 . ISSN 0004-9727

[img] PDF
Restringido a Sólo personal autorizado del repositorio hasta 31 Diciembre 2020.

495kB

URL Oficial: http://journals.cambridge.org/download.php?file=%2F42139_000CFF88FC69EEF276645126CD9AB357_journals__BAZ_BAZ52_03_S0004972700014957a.pdf&cover=Y&code=4e144b89cb719e9cdb323feb4fadd1e3




Resumen

Consider the following possible properties which a Banach space X may have: (P): If (x(j)) and (y(j)) are are bounded sequences in X such that for all n greater than or equal to 1 and for every continuous n-homogeneous polynomial P on X, P(x(j)) - P(y(j)) --> 0, then, Q(x(j) - y(j)) --> 0 for all m greater than or equal to 1 and for every continuous us m-homogeneous polynomial Q on X.

(RP): If (x(j)) and (y(j)) are bounded sequences in X such that for all n greater than or equal to 1 and for every continuous n-homogeneous polynomial P on X, P(x(j) - y(j)) --> 0, then Q(x(j)) - Q(y(j)) --> 0 for all m greater than or equal to 1 and for every continuous m-homogeneous polynomial Q on X. We study properties (P) and (RP) and their relation with the Schur property, Dunford-Pettis property, Lambda, and others. Several. applications of these properties are given.


Tipo de documento:Artículo
Palabras clave:Space
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:16382
Depositado:17 Sep 2012 09:40
Última Modificación:07 Feb 2014 09:28

Descargas en el último año

Sólo personal del repositorio: página de control del artículo