An extension of Sine's counterexample

Date

2009-02-01

Author

Emelyanov, Eduard

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

121
views

0
downloads

We generalize Sine's example [3] of a positive contraction in a C(K)-space which is mean ergodic, but its square is not.

Subject Keywords

Theoretical Computer Science, Analysis, General Mathematics

URI

https://hdl.handle.net/11511/39266

Journal

POSITIVITY

DOI

https://doi.org/10.1007/s11117-008-2192-0

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

A note on b-weakly compact operators Alpay, Safak; Altin, Birol (Springer Science and Business Media LLC, 2007-11-01) We consider a continuous operator T : E -> X where E is a Banach lattice and X is a Banach space. We characterize the b-weak compactness of T in terms of its mapping properties.
On ideals generated by positive operators Alpay, S; Uyar, A (Springer Science and Business Media LLC, 2003-06-01) Algebra structure of principle ideals of order bounded operators is studied.
A positive doubly power bounded operator with a nonpositive inverse exists on any infinite-dimensional AL-Space Alpay, S; Binhadjah, A; Emel'yanov, EY (Springer Science and Business Media LLC, 2006-03-01) In this paper we construct a positive doubly power bounded operator with a nonpositive inverse on an AL-space.
Characterizations of Riesz spaces with b-property Alpay, Safak; ERCAN, ZAFER (Springer Science and Business Media LLC, 2009-02-01) A Riesz space E is said to have b-property if each subset which is order bounded in E(similar to similar to) is order bounded in E. The relationship between b-property and completeness, being a retract and the absolute weak topology vertical bar sigma vertical bar (E(similar to), E) is studied. Perfect Riesz spaces are characterized in terms of b-property. It is shown that b-property coincides with the Levi property in Dedekind complete Frechet lattices.
Invariant subspaces for positive operators acting on a Banach space with Markushevich basis Ercan, Z; Onal, S (Springer Science and Business Media LLC, 2004-06-01) We introduce 'weak quasinilpotence' for operators. Then, by substituting 'Markushevich basis' and 'weak quasinilpotence at a nonzero vector' for 'Schauder basis' and 'quasinilpotence at a nonzero vector', respectively, we answer a question on the invariant subspaces of positive operators in [ 3].

Citation Formats

E. Emelyanov, “An extension of Sine’s counterexample,” POSITIVITY, pp. 125–127, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39266.