NDLI: An Extension of the Fuglede-Putnam Theorem to Subnormal Operators Using a Hilbert-Schmidt Norm Inequality

Content Provider	Scilit
Author	Furuta, Takayuki
Copyright Year	1981
Description	We prove that if and are subnormal operators acting on a Hubert space, then for every bounded linear operator , the Hilbert-Schmidt norm of is greater than or equal to the Hilbert-Schmidt norm of . In particular, implies . In addition, if we assume is a Hilbert-Schmidt operator, we can relax the subnormality conditions to hyponormality and still retain the inequality.
Related Links	http://www.ams.org/proc/1981-81-02/S0002-9939-1981-0593465-4/S0002-9939-1981-0593465-4.pdf
Ending Page	242
Page Count	3
Starting Page	240
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2044202
Journal	Proceedings of the American Mathematical Society
Issue Number	2
Volume Number	81
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Mathematical Physics Putnam Theorem Subnormal Operators Hilbert Schmidt Schmidt Norm Norm Inequality Fuglede Putnam
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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An Extension of the Fuglede-Putnam Theorem to Subnormal Operators Using a Hilbert-Schmidt Norm Inequality