Commutators of Operators on Hilbert Space
1965 ◽
Vol 17
◽
pp. 695-708
◽
Keyword(s):
The purpose of this paper is to record some progress on the problem of determining which (bounded, linear) operators A on a separable Hilbert space H are commutators, in the sense that there exist bounded operators B and C on H satisfying A = BC — CB. It is thus natural to consider this paper as a continuation of the sequence (2; 3; 5). In §2 we show that many infinite diagonal matrices (with scalar entries) are commutators and that every weighted unilateral and bilateral shift is a commutator.
1987 ◽
Vol 39
(4)
◽
pp. 880-892
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1974 ◽
Vol 26
(3)
◽
pp. 565-575
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Keyword(s):
1981 ◽
Vol 33
(6)
◽
pp. 1291-1308
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2020 ◽
Vol 18
(05)
◽
pp. 2050033
Keyword(s):
1995 ◽
Vol 47
(4)
◽
pp. 744-785
◽
1988 ◽
Vol 31
(1)
◽
pp. 127-144
◽
Keyword(s):
1974 ◽
Vol 26
(1)
◽
pp. 115-120
◽