A problem on the structure of Fr,chet spaces

被引：0
|
作者：
Bonet, Jose [1 ]
机构：
[1] Univ Politecn Valencia, IUMPA, E-46071 Valencia, Spain
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2010年 / 104卷 / 02期
关键词：
Frechet spaces; continuous linear operators; hereditarily indecomposable spaces; hypercyclic operators; topologizable operators; HYPERCYCLIC OPERATORS; BANACH-SPACES;
D O I：
10.5052/RACSAM.2010.26
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The following open problem is stated: Is there a non-normable Fr,chet space E such that every continuous linear operator T on E has the form T = lambda I + S, where S maps a 0-neighbourhood of E into a bounded set? A few remarks and the relation of this question with other still open problems on operators between Fr,chet spaces are mentioned.
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页码：427 / 434
页数：8
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