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The p -Quasihyponormality of the Generalized Aluthge Transform

Journal: International Journal of Scientific Engineering and Technology (IJSET) (Vol.2, No. 9)

Publication Date:

Authors : ;

Page : 822-824

Keywords : Keywords: p ?Quasihyponormal operator; Aluthge Transform;

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Abstract

Let p T U T ? be the polar decomposition of p ?Quasihyponormal operator for 0 1 ? ? p .Then the operator , , s t T T U T ? s t ? 0 1,0 1 ? ? ? ? s t is 1 2( ) s t ? ? ? ? ? ? ? ? Quasihyponormal and the operator , ,0 , 1, t r t T T U T r t r t r t ? ? ? ? ? ? is q ? Quasihyponormal where q p r t ? ? ? max ,2 . ? ?

Last modified: 2013-09-03 20:07:21