Supercyclicity and Hypercyclicity of an Isometry Plus a Nilpotent
Joint Authors
Yousefi, Bahmann
Hedayatian, Karim
Yarmahmoodi, S.
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-07
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Suppose that X is a separable normed space and the operators A and Q are bounded on X.
In this paper, it is shown that if AQ=QA, A is an isometry, and Q is a nilpotent then the operator A+Q is neither supercyclic nor weakly hypercyclic.
Moreover, if the underlying space is a Hilbert space and A is a co-isometric operator, then we give sufficient conditions under which the operator A+Q satisfies the supercyclicity criterion.
American Psychological Association (APA)
Yarmahmoodi, S.& Hedayatian, Karim& Yousefi, Bahmann. 2011. Supercyclicity and Hypercyclicity of an Isometry Plus a Nilpotent. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-490579
Modern Language Association (MLA)
Yarmahmoodi, S.…[et al.]. Supercyclicity and Hypercyclicity of an Isometry Plus a Nilpotent. Abstract and Applied Analysis No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-490579
American Medical Association (AMA)
Yarmahmoodi, S.& Hedayatian, Karim& Yousefi, Bahmann. Supercyclicity and Hypercyclicity of an Isometry Plus a Nilpotent. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-490579
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490579
