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Every operator almost commutes with a compact operator

Title
Every operator almost commutes with a compact operator
Authors
Jung I.B.Ko E.Pearcy C.
Ewha Authors
고응일
SCOPUS Author ID
고응일scopus
Issue Date
2007
Journal Title
Kyungpook Mathematical Journal
ISSN
1225-6951JCR Link
Citation
vol. 47, no. 2, pp. 221 - 226
Indexed
SCOPUS; KCI scopus
Abstract
In this note we set forth three possible definitions of the property of "almost commuting with a compact operator" and discuss an old result of W. Arveson that says that every operator on Hilbert space has the weakest of the three properties. Finally, we discuss some recent progress on the hyperinvariant subspace problem (see the bibliography), and relate it to the concept of almost commuting with a compact operator.
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자연과학대학 > 수학전공 > Journal papers
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