No CrossRef data available.
Article contents
Similarity between Kleinecke-Shirokov theorem and Fuglede-Putnam theorem
Published online by Cambridge University Press: 17 April 2009
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Recently in this journal we have shown the similarity between the Kleinecke-Shirokov theorem for subnormal operators and the Fuglede-putnam theorem. The purpose of this paper is to show that this similarity can be generalized to operators which belong to some classes of non-normal operators wider than the class of subnormal operators.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1986
References
[1]Ackermans, S.T.M., van Eijndhoven, S.J.L. and Martens, F.J.L., On almost commuting operators, Nederl. Akad. Wetensch. Proc. Ser. A. 86 (1983), 385–391.CrossRefGoogle Scholar
[2]Fuglede, B., A Commutativity theorem for normal operators, Proc. Nat. Acad. Sci. U.S.A., 36 (1950), 35–40.CrossRefGoogle ScholarPubMed
[3]Furuta, T., Extensions of the Fuglede-putnam-type theorems to subnormal operators, Bull. Austral. Math. Soc., 31 (1985), 161–169.CrossRefGoogle Scholar
[4]Kleinecke, D.C., On commutators, Proc. Amer. Math. Soc., 8 (1957), 535–536.CrossRefGoogle Scholar
[5]Moore, R.L., Rogers, D. D. and Trent, T. T., A note on intertwining M-hyponormal operators, Proc. Amer. Math. Soc., 83 (1981), 514–516.Google Scholar
[6]Putnam, C.R., On normal operators in Hilbert space, Amer. J. Math., 73 (1951), 357–362.CrossRefGoogle Scholar
[8]Shirokov, F.V., Proof of a conjecture of kaplansky, Uspekhi Mat. Nauk, 11 (1956), 168.Google Scholar
[9]Yoshino, T., Remark on the generalized Putnam-Fuglede theorem, Proc. Amer. Math. Soc. (to appear).Google Scholar
You have
Access