Extensions of the Fuglede-Putnam-type theorems of subnormal operators. (English) Zbl 0579.47034
Four results concerning commutator properties of bounded linear operators on Hilbert space by S. T. M. Ackermans, S. J. L. van Eijndhoven, and F. J. L. Martens, by J. G. Stampfli, and by R. L. Moore, which are valid for normal operators, are generalized to the case of subnormal operators by means of matrix computation.
Reviewer: G.Garske
MSC:
47B47 | Commutators, derivations, elementary operators, etc. |
47B20 | Subnormal operators, hyponormal operators, etc. |
47B15 | Hermitian and normal operators (spectral measures, functional calculus, etc.) |
Keywords:
commutator properties of bounded linear operators on Hilbert space; subnormal operators; matrix computationReferences:
[1] | DOI: 10.2307/2042505 · Zbl 0442.47013 · doi:10.2307/2042505 |
[2] | DOI: 10.2307/2042180 · Zbl 0388.47018 · doi:10.2307/2042180 |
[3] | DOI: 10.2307/2033572 · Zbl 0092.32004 · doi:10.2307/2033572 |
[4] | Ackermans, Nederl. Akad. Wetensch. Proc. Ser. A 86 pp 385– (1983) · doi:10.1016/S1385-7258(83)80015-8 |
[5] | Stampfli, Pacific J. Math. 82 pp 257– (1979) · Zbl 0427.47025 · doi:10.2140/pjm.1979.82.257 |
[6] | DOI: 10.2307/2044202 · Zbl 0458.47020 · doi:10.2307/2044202 |
[7] | Shirokov, Uspekhi Mat. Nauk 11 pp 168– (1956) |
[8] | Halmos, A Hilbert space problem book (1967) |
[9] | Halmos, J. Reine Angew Math. 208 pp 102– (1961) |
[10] | Takayuki, Bull. Austral. Math. Soc. 25 pp 177– (1982) |
[11] | DOI: 10.2307/2033511 · Zbl 0079.12904 · doi:10.2307/2033511 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.