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http://dx.doi.org/10.4134/BKMS.2006.43.4.747

FUGLEDE-PUTNAM THEOREM FOR p-HYPONORMAL OR CLASS y OPERATORS  

Mecheri, Salah (DEPARTMENT OF MATHEMATICS, KING SAUD UNIVERSITY, COLLEGE OF SCIENCE)
Tanahashi, Kotaro (DEPARTMENT OF MATHEMATICS, TOHOKU PHARMACEUTICAL UNIVERSITY)
Uchiyama, Atsushi (SENDAI NATIONAL COLLEGE OF TECHNOLOGY)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.4, 2006 , pp. 747-753 More about this Journal
Abstract
We say operators A, B on Hilbert space satisfy Fuglede-Putnam theorem if AX = X B for some X implies $A^*X=XB^*$. We show that if either (1) A is p-hyponormal and $B^*$ is a class y operator or (2) A is a class y operator and $B^*$ is p-hyponormal, then A, B satisfy Fuglede-Putnam theorem.
Keywords
p-hyponormal operator; class y; Fuglede-Putnam theorem;
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Times Cited By SCOPUS : 1
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