The invariant subspace problem for absolutely p-summing operators in Krein spaces

被引：0

作者：

Wanjala, Gerald ^{[1
]}

机构：

[1] Sultan Qaboos Univ, Dept Math & Stat, POB 36 PC 123, Al Khoud, Oman

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

Krein spaces; invariant subspace; absolutely p-summing operator;

D O I：

10.1186/1029-242X-2012-254

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let 1 <= p < infinity, and let T be a bounded linear operator defined on a Krein space kappa. We prove the existence of a non-positive subspace L_ of kappa invariant under T with the assumption that T is absolutely p-summing with some further conditions imposed on it.

引用

页数：13

共 14 条

[1] The invariant subspace problem for absolutely p-summing operators in Krein spaces
Gerald Wanjala
Journal of Inequalities and Applications, 2012
[2] LIFTINGS OF ABSOLUTELY SUMMING OPERATORS ON L1λ-SPACES
Kang, Jeongheung
KOREAN JOURNAL OF MATHEMATICS, 2022, 30 (01): : 147 - 154
[3] On quasinilpotent operators and the invariant subspace problem
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 477 (01) : 187 - 195
[4] Strictly singular operators and the invariant subspace problem
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STUDIA MATHEMATICA, 1999, 132 (03) : 203 - 226
[5] Non-Archimedean Quasitriangular Operators and the Invariant Subspace Problem
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[6] Non-Archimedean Quasitriangular Operators and the Invariant Subspace Problem
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Babahmed, Mohammed
P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2022, 14 (04) : 325 - 334
[7] AN EXPLICIT EXAMPLE CONCERNING THE INVARIANT SUBSPACE PROBLEM FOR BANACH SPACES
Sliwa, Wieslaw
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2010, 40 (02) : 627 - 641
[8] The invariant subspace problem for non-Archimedean Kothe spaces
Kasprzak, Henryk
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 453 (02) : 1086 - 1110
[9] Maximal J-semi-definite invariant subspaces of unbounded J-selfadjoint operators in Krein spaces
Langer, Heinz
Tretter, Christiane
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 494 (02)
[10] A spectral quasinilpotent operator and the invariant subspace problem for non-Archimedean Banach spaces
Azzedine El Asri
Mohammed Babahmed
Annals of Functional Analysis, 2023, 14

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