Abstract
At first we investigate the similarity between the Kleinecke-Shirokov theorem for subnormal operators and the Fuglede-Putnam theorem and also we show an asymptotic version of this similarity. These results generalize results of Ackermans, van Eijndhoven and Martens. Also we show two theorems on degree of approximation on subnormal derivation ranges. These results generalize results of Stampfli on degree of approximation on normal derivation ranges. The purpose of this paper is to show that the Fuglede-Putnam-type theorem on normal operators can certainly be generalized to subnormal operators.
Publisher
Cambridge University Press (CUP)
Reference11 articles.
1. On almost commuting operators
2. On operator commutators
3. Proof of a conjecture of Kaplansky;Shirokov;Uspekhi Mat. Nauk,1956
4. Note on a theorem of Fuglede and Putnam
5. Shifts on Hilbert space;Halmos;J. Reine Angew Math.,1961
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