Title of article :
Spectral properties of Cesàro-like operators on weighted Bergman spaces
Author/Authors :
Ballamoole، نويسنده , , S. and Miller، نويسنده , , T.L. and Miller، نويسنده , , V.G.، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2012
Abstract :
We determine spectral pictures and resolvent estimates for a class of integral operators on the weighted Bergman spaces L a p ( D , m α ) for p ≥ 1 , α > − 1 , and show in particular these operators are subdecomposable. Moreover, in the case that p = 2 , we show that some of these operators are subnormal, some are normaloid, and some are subscalar.
Keywords :
Cesàro operator , Operator semigroups , Decomposable operators , Generalized scalar operators , Bishop’s property ( ? ) , Property ( ? ) E
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications