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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2007.1
- 수록면
- 221 - 226 (6page)
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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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참고문헌 (10)
참고문헌 신청
/ 1969 / On invariant subspaces of quasitriangularoperators : 637 ~ 647
/ 1970 / Ten problems in Hilbert space : 887 ~ 933
/ 1977 / Notes on extensions of C-algebras : 329 ~ 355
/ 1981199-233 / similarity and approximation by nilpotent operators
/ 1991 / An extension of Burnside’s theorem to infinite dimensional spaces lomo (sov) : 329 ~ 339
/ 1970 / Ten problems in Hilbert space : 887 ~ 933
/ 1977 / Notes on extensions of C-algebras : 329 ~ 355
/ 1981199-233 / similarity and approximation by nilpotent operators
/ 1991 / An extension of Burnside’s theorem to infinite dimensional spaces lomo (sov) : 329 ~ 339
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