Bulletin of the Korean Mathematical Society ( Vol.43 NO.4 / 2006 ) Title Fuglede-Putnam theorem for $p$-hyponormal or class ${mathcal Y}$ operators(ENG) Author Salah Mecheri ,K^{o}tar^{o} Tanahashi ,Atsushi Uchiyama  MSC 47B20 Publication Page 747-753 Page Abstract 1. Introduction 2. Results Own Status Keyword $p$-hyponormal operator, class ${mathcal Y}$, Fuglede-Putnam theo-rem Note Summary We say operators $A, B$ on Hilbert space satisfy Fuglede-Putnam theorem if $AX=XB$ for some $X$ implies $A^{*}X=XB^{*}$. We show that if either (1) $A$ is $p$-hyponormal and $B^{*}$ is a class $ {mathcal Y}$ operator or (2) $A$ is a class $ {mathcal Y}$ operator and $B^{*}$ is $p$-hyponormal, then $A, B$ satisfy Fuglede-Putnam theorem. Attach [DVI]  [PDF]