Mosco convergence of sequences of homogeneous polynomials.

J. Ferrera

Revista Matemática Complutense (1998)

  • Volume: 11, Issue: 1, page 31-41
  • ISSN: 1139-1138

Abstract

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In this paper we give a characterization of uniform convergence on weakly compact sets, for sequences of homogeneous polynomials in terms of the Mosco convergence of their level sets. The result is partially extended for holomorphic functions. Finally we study the relationship with other convergences.

How to cite

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Ferrera, J.. "Mosco convergence of sequences of homogeneous polynomials.." Revista Matemática Complutense 11.1 (1998): 31-41. <http://eudml.org/doc/44484>.

@article{Ferrera1998,
abstract = {In this paper we give a characterization of uniform convergence on weakly compact sets, for sequences of homogeneous polynomials in terms of the Mosco convergence of their level sets. The result is partially extended for holomorphic functions. Finally we study the relationship with other convergences.},
author = {Ferrera, J.},
journal = {Revista Matemática Complutense},
keywords = {Convergencia uniforme; Polinomios; Funciones holomorfas; Espacios de Banach; Series analíticas; Homogeneidad; uniform convergence on weakly compact sets; sequences of homogeneous polynomials; Mosco convergence},
language = {eng},
number = {1},
pages = {31-41},
title = {Mosco convergence of sequences of homogeneous polynomials.},
url = {http://eudml.org/doc/44484},
volume = {11},
year = {1998},
}

TY - JOUR
AU - Ferrera, J.
TI - Mosco convergence of sequences of homogeneous polynomials.
JO - Revista Matemática Complutense
PY - 1998
VL - 11
IS - 1
SP - 31
EP - 41
AB - In this paper we give a characterization of uniform convergence on weakly compact sets, for sequences of homogeneous polynomials in terms of the Mosco convergence of their level sets. The result is partially extended for holomorphic functions. Finally we study the relationship with other convergences.
LA - eng
KW - Convergencia uniforme; Polinomios; Funciones holomorfas; Espacios de Banach; Series analíticas; Homogeneidad; uniform convergence on weakly compact sets; sequences of homogeneous polynomials; Mosco convergence
UR - http://eudml.org/doc/44484
ER -

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