Powers of Convex-Cyclic Operators
Joint Authors
León-Saavedra, Fernando
Romero-de la Rosa, María del Pilar
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-3, 3 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-07
Country of Publication
Egypt
No. of Pages
3
Main Subjects
Abstract EN
A bounded operator T on a Banach space X is convex cyclic if there exists a vector x such that the convex hull generated by the orbit T n x n ≥ 0 is dense in X .
In this note we study some questions concerned with convex-cyclic operators.
We provide an example of a convex-cyclic operator T such that the power T n fails to be convex cyclic.
Using this result we solve three questions posed by Rezaei (2013).
American Psychological Association (APA)
León-Saavedra, Fernando& Romero-de la Rosa, María del Pilar. 2014. Powers of Convex-Cyclic Operators. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-3.
https://search.emarefa.net/detail/BIM-1014398
Modern Language Association (MLA)
León-Saavedra, Fernando& Romero-de la Rosa, María del Pilar. Powers of Convex-Cyclic Operators. Abstract and Applied Analysis No. 2014 (2014), pp.1-3.
https://search.emarefa.net/detail/BIM-1014398
American Medical Association (AMA)
León-Saavedra, Fernando& Romero-de la Rosa, María del Pilar. Powers of Convex-Cyclic Operators. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-3.
https://search.emarefa.net/detail/BIM-1014398
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014398
