Polaroid operators and Weyl's theorem
B Duggal, R Harte, IH Jeon - Proceedings of the American Mathematical …, 2004 - JSTOR
B Duggal, R Harte, IH Jeon
Proceedings of the American Mathematical Society, 2004•JSTOR… In the early days of operator theory Hermann Weyl [12] made an interesting observation
about selfadjoint operators: "Weyl's theorem" says that, whenever T = T* EB(X) for a Hilbert
space X, we have the equality … is sufficient for the polaroid condition (2.1), which in tu
disjointness (0.3). If T is polaroid and if T - AI has for a finite ascent or finite descent, then
Weyl's theorem holds fo …
about selfadjoint operators: "Weyl's theorem" says that, whenever T = T* EB(X) for a Hilbert
space X, we have the equality … is sufficient for the polaroid condition (2.1), which in tu
disjointness (0.3). If T is polaroid and if T - AI has for a finite ascent or finite descent, then
Weyl's theorem holds fo …
"Polaroid elements" represent an attempt to abstract part of the condition, "Weyl's theorem holds" for operators.
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