Generalized Fuglede-Putnam theorem and Hilbert-Schmidt norm inequality
Takayuki Furuta
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 58, Number 2
(1982), 55-57.
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Permanent link to this document: http://projecteuclid.org/euclid.pja/1195516142
Mathematical Reviews number (MathSciNet): MR651289
Zentralblatt MATH identifier: 0501.47008
Digital Object Identifier: doi:10.3792/pjaa.58.55
References
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Mathematical Reviews (MathSciNet): MR107826
Zentralblatt MATH: 0092.32004
Digital Object Identifier: doi:10.2307/2033572
JSTOR: links.jstor.org
[2] T. Furuta: Relaxation of normality in the Fuglede-Putnam theorem, ibid., 77, 324-328 (1979).
Mathematical Reviews (MathSciNet): MR545590
Zentralblatt MATH: 0388.47018
Digital Object Identifier: doi:10.2307/2042180
JSTOR: links.jstor.org
[3] T. Furuta: Normality can be relaxed in the asymptotic Fuglede-Putnam theorem. Proc. Amer. Math. Soc, 79, 593-596 (1980).
Mathematical Reviews (MathSciNet): MR572310
Zentralblatt MATH: 0442.47013
Digital Object Identifier: doi:10.2307/2042505
JSTOR: links.jstor.org
[4] T. Furuta: An extension of the Fuglede-Putnam theorem to subnormal operators using a Hilbert-Schmidt norm inequality, ibid., 81, 240-242 (1981).
Mathematical Reviews (MathSciNet): MR593465
Zentralblatt MATH: 0458.47020
Digital Object Identifier: doi:10.2307/2044202
JSTOR: links.jstor.org
[5] T. Furuta: A Hilbert-Schmidt norm inequality associated with the Fuglede-Putnam theorem (to appear in Bull. Australian Math. Soc).
Mathematical Reviews (MathSciNet): MR665452
Zentralblatt MATH: 0478.47006
Digital Object Identifier: doi:10.1017/S0004972700005190
[6] E. Goya and T. Saito: On intertwining by an operator having a dense range. Tohoku Math. Journ., 33, 127-131 (1981).
Mathematical Reviews (MathSciNet): MR613113
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Digital Object Identifier: doi:10.2748/tmj/1178229499
Project Euclid: euclid.tmj/1178229499
[7] P. R. Halmos: A Hilbert Space Problem Book. Van Nostrand, Princeton, N.J. (1967).
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[8] C. R. Putnam: On normal operators in Hilbert space. Amer. J. Math., 73, 357-362 (1951).
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Digital Object Identifier: doi:10.2307/2372180
JSTOR: links.jstor.org
[9] M. Rosenblum: On a theorem of Fuglede and Putnam. J. London Math. Soc, 33, 376-377 (1958).
Mathematical Reviews (MathSciNet): MR99598
Zentralblatt MATH: 0081.11902
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[10] G. Weiss: Fuglede's commutativity theorem modulo the Hilbert-Schmidt class and generating functions for matrix operators. II. J. Operator Theory, 5, 3-16 (1981).
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Zentralblatt MATH: 0478.47005
Proceedings of the Japan Academy, Series A, Mathematical Sciences
