Compact AC-operators
Studia Mathematica, Tome 117 (1995) no. 3, pp. 275-287
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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
Affiliations des auteurs :
Ian Doust 1 ;  1
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author = {Ian Doust and },
title = {Compact {AC-operators}},
journal = {Studia Mathematica},
pages = {275--287},
publisher = {mathdoc},
volume = {117},
number = {3},
year = {1995},
doi = {10.4064/sm-117-3-275-287},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-117-3-275-287/}
}
Ian Doust; . Compact AC-operators. Studia Mathematica, Tome 117 (1995) no. 3, pp. 275-287. doi: 10.4064/sm-117-3-275-287
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