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

Dodds, P. G.; de Pagter, B.; Ricker, W.

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

Reflexivity and order properties of scalar-type spectral operators in locally convex spaces
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by P. G. Dodds, B. de Pagter and W. Ricker

Trans. Amer. Math. Soc. 293 (1986), 355-380

DOI: https://doi.org/10.1090/S0002-9947-1986-0814927-7

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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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