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:
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