RELATIVELY REGULAR OPERATORS AND A SPECTRAL MAPPING-THEOREM

被引：7

作者：

SCHMOEGER, C

机构：

[1] Mathematisches Institut I, Universität Karlsruhe

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1993年 / 175卷 / 01期

关键词：

D O I：

10.1006/jmaa.1993.1171

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let T be a bounded linear operator on a complex banach space X. The following essential spectrum of T is introduced: [formula] In this note, for a funciton f admissable in the analytic calculus, we show that σrr(f(T)) = f(σrr(T)). © 1993 Academic Press. Inc. All rights reserved.

引用

页码：315 / 320

页数：6

共 50 条

[1] A NOTE ON THE SPECTRAL MAPPING-THEOREM
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[2] 2 COUNTEREXAMPLES TO THE SPECTRAL MAPPING-THEOREM FOR SEMIGROUPS OF POSITIVE OPERATORS
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[3] A SPECTRAL MAPPING-THEOREM FOR LOCALLY COMPACT-GROUPS OF OPERATORS
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[4] A SPECTRAL MAPPING-THEOREM FOR LOCAL MULTIPLIERS
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[5] THE SPECTRAL MAPPING-THEOREM FOR INTEGRATED SEMIGROUPS
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[6] WEYL ESSENTIAL SPECTRAL MAPPING-THEOREM
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[8] THE SPECTRAL MAPPING-THEOREM FOR ONE-PARAMETER GROUPS OF POSITIVE OPERATORS ON CO(X)
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[9] MAPPING PROPERTIES OF RELATIVELY REGULAR OPERATORS
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[10] COUNTEREXAMPLE TO THE SPECTRAL MAPPING-THEOREM FOR THE EXPONENTIAL FUNCTION
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