Ergodic properties of operators in some semiHilbertian spaces
(2012) In Linear and Multilinear Algebra 61(2). p.139159 Abstract
 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 Aadjoint and A 1/2adjoint 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 Apower bounded operators. Some classes of orthogonally mean ergodic or Aergodic operators, which come from the theory of generalized Toeplitz operators are considered. In particular, we give an example of an Aergodic operator (with an injective A) which is not Cesàro ergodic, such that T * is not a quasiaffine transform of an orthogonally mean ergodic... (More)
 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 Aadjoint and A 1/2adjoint 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 Apower bounded operators. Some classes of orthogonally mean ergodic or Aergodic operators, which come from the theory of generalized Toeplitz operators are considered. In particular, we give an example of an Aergodic operator (with an injective A) which is not Cesàro ergodic, such that T * is not a quasiaffine transform of an orthogonally mean ergodic operator. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/2856887
 author
 Suciu, Laurian ^{LU} ; Majdak, Witold and Secelean, Nicolae
 organization
 publishing date
 2012
 type
 Contribution to journal
 publication status
 published
 subject
 keywords
 Cesàro ergodic operator, orthogonally mean ergodic operator, Apower bounded operator, quasiaffine transform
 in
 Linear and Multilinear Algebra
 volume
 61
 issue
 2
 pages
 139  159
 publisher
 Taylor & Francis
 external identifiers

 wos:000311777300001
 scopus:84870943158
 ISSN
 10267573
 DOI
 10.1080/03081087.2012.667094
 language
 English
 LU publication?
 yes
 id
 b1c8aa89371148a2b0a2578fa0a8b65c (old id 2856887)
 date added to LUP
 20130916 12:30:17
 date last changed
 20180107 03:14:09
@article{b1c8aa89371148a2b0a2578fa0a8b65c, abstract = {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 Aadjoint and A 1/2adjoint 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 Apower bounded operators. Some classes of orthogonally mean ergodic or Aergodic operators, which come from the theory of generalized Toeplitz operators are considered. In particular, we give an example of an Aergodic operator (with an injective A) which is not Cesàro ergodic, such that T * is not a quasiaffine transform of an orthogonally mean ergodic operator.}, author = {Suciu, Laurian and Majdak, Witold and Secelean, Nicolae}, issn = {10267573}, keyword = {Cesàro ergodic operator,orthogonally mean ergodic operator,Apower bounded operator,quasiaffine transform}, language = {eng}, number = {2}, pages = {139159}, publisher = {Taylor & Francis}, series = {Linear and Multilinear Algebra}, title = {Ergodic properties of operators in some semiHilbertian spaces}, url = {http://dx.doi.org/10.1080/03081087.2012.667094}, volume = {61}, year = {2012}, }