Reflexivity and order properties of scalar-type spectral operators in locally convex spaces-Reference-Cited by-同舟云学术

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

Published:1986 Issue:1 Volume:293 Page:355-380
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

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

Abstract

One of the principal results of the paper is that each scalar-type spectral operator in the quasicomplete locally convex space X 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1986-293-01/S0002-9947-1986-0814927-7/S0002-9947-1986-0814927-7.pdf

Reference30 articles.

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4. Unital embedding and complexification of 𝑓-algebras;Beukers, Frits;Math. Z.,1983

5. Orthomorphisms and Boolean algebras of projections;Dodds, Peter G.;Math. Z.,1984

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