SPECTRUM AND COMPACTNESS OF THE CESARO OPERATOR ON WEIGHTED lp SPACES

被引：15

作者：

Albanese, Angela A. ^{[1
]}

Bonet, Jose ^{[2
]}

Ricker, Werner J. ^{[3
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis, I-73100 Lecce, Italy

[2] Univ Politecn Valencia, IUMPA, E-46071 Valencia, Spain

[3] Katholische Univ Eichstatt Ingolstadt, Math Geogr Fak, D-85072 Eichstatt, Germany

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2015年 / 99卷 / 03期

关键词：

Cesaro operator; weighted l(p) space; spectrum; compact operator;

D O I：

10.1017/S1446788715000221

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An investigation is made of the continuity, the compactness and the spectrum of the Cesaro operator C when acting on the weighted Banach sequence spaces l(p)(w), 1 < p < infinity, for a positive decreasing weight w, thereby extending known results for C when acting on the classical spaces l(p). New features arise in the weighted setting (for example, existence of eigenvalues, compactness) which are not present in l(p).

引用

页码：287 / 314

页数：28

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