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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 7 (1984), Issue 1, Pages 15-21
doi:10.1155/S0161171284000028

Closed spectral measures in Fréchet spaces

W. Ricker

Department of Pure Mathematics, The University of Adelaide, Adelaide 5000, S.A., Australia

Abstract

Closed spectral measures, which are often used in the theory of operators, have the desirable property that their L1-space is complete. In this note criteria are given which assure the closedness of spectral measures acting in Fréchet spaces.