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Uniform Convergence and Spectra of Operators in a Class of Fréchet Spaces
Joint Authors
Albanese, Angela A.
Bonet, José
Ricker, Werner J.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-30
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Well-known Banach space results (e.g., due to J.
Koliha and Y.
Katznelson/L.
Tzafriri), which relate conditions on the spectrum of a bounded operator T to the operator norm convergence of certain sequences of operators generated by T , are extended to the class of quojection Fréchet spaces.
These results are then applied to establish various mean ergodic theorems for continuous operators acting in such Fréchet spaces and which belong to certain operator ideals, for example, compact, weakly compact, and Montel.
American Psychological Association (APA)
Albanese, Angela A.& Bonet, José& Ricker, Werner J.. 2014. Uniform Convergence and Spectra of Operators in a Class of Fréchet Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1013423
Modern Language Association (MLA)
Albanese, Angela A.…[et al.]. Uniform Convergence and Spectra of Operators in a Class of Fréchet Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-1013423
American Medical Association (AMA)
Albanese, Angela A.& Bonet, José& Ricker, Werner J.. Uniform Convergence and Spectra of Operators in a Class of Fréchet Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1013423
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013423