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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Reflexivity and order properties of scalar-type spectral operators in locally convex spaces


Authors: P. G. Dodds, B. de Pagter and W. Ricker
Journal: Trans. Amer. Math. Soc. 293 (1986), 355-380
MSC: Primary 47B40; Secondary 47B55, 47D30
MathSciNet review: 814927
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Abstract: One of the principal results of the paper is that each scalar-type spectral operator in the quasicomplete locally convex space $ X$ is reflexive. The paper also studies in detail the relation between the theory of equicontinuous spectral measures in locally convex spaces and the order properties of equicontinuous Bade complete Boolean algebras of projections.


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DOI: https://doi.org/10.1090/S0002-9947-1986-0814927-7
Keywords: Spectral operators, Boolean algebras, reflexivity, spectral measures, Riesz spaces
Article copyright: © Copyright 1986 American Mathematical Society