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

P. G. Dodds; B. De Pagter; W. Ricker

doi:10.1090/S0002-9947-1986-0814927-7

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

P. G. Dodds, B. De Pagter, W. Ricker

Research output: Contribution to journal › Article › peer-review

33 Citations (Scopus)

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.

Original language	English
Pages (from-to)	355-380
Number of pages	26
Journal	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume	293
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1986-0814927-7
Publication status	Published - Jan 1986

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

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