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SOME IMPROVEMENTS OF THE KATZNELSON-TZAFRIRI THEOREM ON HILBERT SPACE.
- Source :
-
Proceedings of the American Mathematical Society . Sep2015, Vol. 143 Issue 9, p3827-3838. 12p. - Publication Year :
- 2015
-
Abstract
- This paper extends two recent improvements in the Hilbert space setting of the well-known Katznelson-Tzafriri theorem by establishing both a version of the result valid for bounded representations of a large class of abelian semigroups and a quantified version for contractive representations. The paper concludes with an outline of an improved version of the Katznelson-Tzafriri theorem for individual orbits, whose validity extends even to certain unbounded representations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 143
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 103456576
- Full Text :
- https://doi.org/10.1090/proc/12323