A new distinguishing feature for summing, versus dominated and multiple summing operators

被引：0

作者：

Dumitru Popa

机构：

[1] University of Constanta,Department of Mathematics

来源：

Archiv der Mathematik | 2011年 / 96卷

关键词：

Primary 46G25; Secondary 46B25; 46C99; -summing; Multilinear operators;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove results which show a new distinctive feature between the class of summing, versus dominated and multiple summing operators. We improve also some recent results in this area.

引用

共 50 条

[1] A new distinguishing feature for summing, versus dominated and multiple summing operators
Popa, Dumitru
ARCHIV DER MATHEMATIK, 2011, 96 (05) : 455 - 462
[2] Multiple summing, dominated and summing operators on a product of spaces
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[3] Dominated operators, absolutely summing operators and the strict topology
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[4] Uniformly dominated sets of summing nonlinear operators
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[5] Uniformly dominated sets of summing nonlinear operators
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[6] On Pietsch measures for summing operators and dominated polynomials
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[7] Almost summing and multiple almost summing multilinear operators on lp spaces
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[8] Almost summing and multiple almost summing multilinear operators on lp spaces
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[9] Reverse inclusions for multiple summing operators
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[10] Hilbert–Schmidt and multiple summing operators
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Collectanea Mathematica, 2012, 63 : 181 - 194

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