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ON THE EXISTENCE OF J-CLASS OPERATORS ON BANACH SPACES.
- Source :
-
Proceedings of the American Mathematical Society . Oct2012, Vol. 140 Issue 10, p3549-3555. 7p. - Publication Year :
- 2012
-
Abstract
- In this paper we answer in the negative the question raised by G. Costakis and A. Manoussos whether there exists a J-class operator on every non-separable Banach space. In particular we show that there exists a non-separable Banach space constructed by S. Argyros, A. Arvanitakis and A. Tolias such that the J-set of every operator on this space has empty interior for each non-zero vector. On the other hand, on non-separable spaces which are reflexive there always exists a J-class operator. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 140
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 76590458
- Full Text :
- https://doi.org/10.1090/S0002-9939-2012-11200-6