ArticleOriginal scientific text

Title

Compact AC-operators

Authors 1, 1

Affiliations

  1. School of Mathematics, University of New South Wales, Sydney, New South Wales 2052, Australia

Abstract

We prove that compact AC-operators have a representation as a combination of disjoint projections which mirrors that for compact normal operators. We also show that unlike arbitrary AC-operators, compact AC-operators admit a unique splitting into real and imaginary parts, and that these parts must necessarily be compact.

Keywords

AC-operators

Bibliography

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Pages:
275-287
Main language of publication
English
Received
1995-06-08
Accepted
1995-08-13
Published
1996
Exact and natural sciences