Ergodic properties of operators in some semi-Hilbertian spaces
Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift
This article deals with linear operators T on a complex Hilbert space , which are bounded with respect to the seminorm induced by a positive operator A on . The A-adjoint and A 1/2-adjoint of T are considered to obtain some ergodic conditions for T with respect to A. These operators are also employed to investigate the class of orthogonally mean ergodic operators as well as that of A-power bounded operators. Some classes of orthogonally mean ergodic or A-ergodic operators, which come from the theory of generalized Toeplitz operators are considered. In particular, we give an example of an A-ergodic operator (with an injective A) which is not Cesàro ergodic, such that T * is not a quasiaffine transform of an orthogonally mean ergodic operator.
|Enheter & grupper|
Ämnesklassifikation (UKÄ) – OBLIGATORISK
|Tidskrift||Linear and Multilinear Algebra|
|Status||Published - 2012|
|Peer review utförd||Ja|