On Ergodic Operator Means in Banach Spaces
(2016) In Integral Equations and Operator Theory 85(2). p.259-287- Abstract
We consider a large class of operator means and prove that a number of ergodic theorems, as well as growth estimates known for particular cases, continue to hold in the general context under fairly mild regularity conditions. The methods developed in the paper not only yield a new approach based on a general point of view, but also lead to results that are new, even in the context of the classical Cesàro means.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/5e690aff-a346-45eb-a12c-7b9ae3fd42b4
- author
- Aleman, Alexandru LU and Suciu, Laurian LU
- organization
- publishing date
- 2016-06-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Cesàro mean, Kreiss bounded operator, Supercyclic operator
- in
- Integral Equations and Operator Theory
- volume
- 85
- issue
- 2
- pages
- 29 pages
- publisher
- Springer
- external identifiers
-
- wos:000378004400006
- scopus:84966694387
- ISSN
- 0378-620X
- DOI
- 10.1007/s00020-016-2298-x
- language
- English
- LU publication?
- yes
- id
- 5e690aff-a346-45eb-a12c-7b9ae3fd42b4
- date added to LUP
- 2016-09-28 10:14:08
- date last changed
- 2024-07-12 17:07:01
@article{5e690aff-a346-45eb-a12c-7b9ae3fd42b4, abstract = {{<p>We consider a large class of operator means and prove that a number of ergodic theorems, as well as growth estimates known for particular cases, continue to hold in the general context under fairly mild regularity conditions. The methods developed in the paper not only yield a new approach based on a general point of view, but also lead to results that are new, even in the context of the classical Cesàro means.</p>}}, author = {{Aleman, Alexandru and Suciu, Laurian}}, issn = {{0378-620X}}, keywords = {{Cesàro mean; Kreiss bounded operator; Supercyclic operator}}, language = {{eng}}, month = {{06}}, number = {{2}}, pages = {{259--287}}, publisher = {{Springer}}, series = {{Integral Equations and Operator Theory}}, title = {{On Ergodic Operator Means in Banach Spaces}}, url = {{http://dx.doi.org/10.1007/s00020-016-2298-x}}, doi = {{10.1007/s00020-016-2298-x}}, volume = {{85}}, year = {{2016}}, }