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Functional Calculus, Integral Representations, and Banach Space Geometry

 

作者: Ian Doust,   Ralph deLaubenfels,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1994）
卷期: Volume 17, issue 2  

页码: 161-171

 

ISSN:1607-3606

 

年代: 1994

 

DOI:10.1080/16073606.1994.9631755

 

出版商: Taylor & Francis Group

 

关键词: 47B40;47A60;46B20;46B25;46J25;well-bounded operators;scalar-type spectral operators;functional calculus;Banach space geometry

 

数据来源: Taylor

 

摘要:

On suitable Banach spaces, the existence of a certain functional calculus for an operator is equivalent to that operator having a certain integral repreaentation with respect to some family of projections. In this paper we consider the problem of identifying the precise classes of spaces on which these equivalences hold, for several of the most important functional calculi.

 

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