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STUDIA MATHEMATICA - Issue no. 2 / 2009 | |||||||
Article: |
FUGLEDE-PUTNAM THEOREM FOR LOG-HYPONORMAL OR CLASS Y OPERATORS. Authors: SALAH MECHERI, AISSA NASLI BAKIR. |
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Abstract: The equation AX = XB implies A*X = XB* when A and B are normal is known as the familiar Fuglede-Putnam’s theorem. In this paper we will extend Fuglede-Putnam’s theorem to a more general class of operators. We show that if A is log-hyponormal and B* is a class Y operator, then A,B satisfy Fuglede-Putnam’s theorem. Other related results are also given. Key words and phrases: Fuglede-Putnam’s theorem, log-hyponormal operator, class Y operator. |
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