Embedding the weighted space Hv0(G, E) of holomorphic functions into the sequence space c0(E)

被引：0

作者：

El Abbassi, El Mustapha ^{[1
]}

Oubbi, Lahbib ^{[2
]}

机构：

[1] Mohammed V Univ Rabat, Fac Sci, Dept Math, GrAAF,LMSA,CeReMAR, Ave Ibn Batouta, Rabat 10000, Morocco

[2] Mohammed V Univ Rabat, Ecole Normale Super Takaddoum, Dept Math, GrAAF,LMSA,CeReMAR, Ave Mohammed Belhassane El Ouazzane, Rabat 10105, Morocco

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2020年 / 49卷 / 06期

关键词：

weighted spaces of holomorphic functions; vector-valued holomorphic function; operator-valued weights; almost isometric embedding; OPERATORS;

D O I：

10.15672/hujms.621628

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We embed almost isometrically the generalized weighted space Hv(0)(G, E) of holomorphic functions on an open subset G of C-N with values in a Banach space E, into c(0)(E), the space of all null sequences in E, where v is an operator-valued continuous function on G vanishing nowhere. This extends and generalizes some known results in the literature. We then deduce the non 1-Hyers-Rassias stability of the isometry functional equation in the framework of Banach spaces.

引用

页码：2063 / 2070

页数：8

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