On Some Functional Calculus of Closed Operators in a Banach Space. II

被引：2

作者：

Atvinovskii, A. A. ^{[1
]}

Mirotin, A. R. ^{[1
]}

机构：

[1] Gomel State Univ, Ul Sovetskaya 104, Gomel 246019, BELARUS

来源：

RUSSIAN MATHEMATICS | 2015年 / 59卷 / 05期

关键词：

Markov function; Krein class; functional calculus; Hirsch functional calculus; closed operator;

D O I：

10.3103/S1066369X15050011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a functional calculus for a class of closed operators in a Banach space. We establish several properties of the calculus under consideration such as continuity, stability, and uniqueness theorems, the spectral mapping theorem, the inversion theorem, and some others. In our preceding work we developed an analogous functional calculus for a narrower class of operators.

引用

页码：1 / 12

页数：12

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