شماره ركورد كنفرانس :
4079
عنوان مقاله :
On an Extension of Fuglede-Putnam Theorem
پديدآورندگان :
Maleki M. manzar.maleki@gmail.com International Campus, Ferdowsi University of Mashhad , Janfada A. R. ajanfada@birjand.ac.ir University of Birjand
كليدواژه :
Fuglede , Putnam theorem , k , quasihyponormal operator , k , quasiposinormal operator , Birkhoff , James orthogonality
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
We show that if A is k-quasihyponormal and $B^{*}$ is an invertible k-quasiposinormal operator
such that AX = XB, for some $X\in C_{2}(H)$, then $A^{*}X = XB^{*}$ and the range and the kernel of
generalized inner derivation induced by operators in these classes of operators are orthogonal.