COINCIDENCE OF TOPOLOGIES ON TENSOR-PRODUCTS OF KOTHE ECHELON SPACES

被引：0
|
作者：
BONET, J
DEFANT, A
PERIS, A
RAMANUJAN, MS
机构：
[1] UNIV OLDENBURG,FACHBEREICH MATHEMAT,D-26121 OLDENBURG,GERMANY
[2] UNIV MICHIGAN,DEPT MATH,ANN ARBOR,MI 48109
来源：
STUDIA MATHEMATICA | 1994年 / 111卷 / 03期
关键词：
KOTHE ECHELON SPACES; TOPOLOGICAL TENSOR PRODUCTS; INJECTIVE AND PROJECTIVE TOPOLOGIES; TENSOR PRODUCTS OF DIAGONAL OPERATORS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate conditions under which the projective and the injective topologies coincide on the tensor product of two Kothe echelon or coechelon spaces. A major tool in the proof is the characterization of the epsilonpi-continuity of the tensor product of two diagonal operators from l(p) to l(p). Several sharp forms of this result are also included.
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页码：263 / 281
页数：19
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