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Some Classes of Continuous Operators on Spaces of Bounded Vector-Valued Continuous Functions with the Strict Topology
Author
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Let X be a completely regular Hausdorff space and let E , · E and ( F , · F ) be Banach spaces.
Let C b ( X , E ) be the space of all E -valued bounded, continuous functions on X , equipped with the strict topology β σ .
We study the relationship between important classes of ( β σ , · F ) -continuous linear operators T : C b ( X , E ) →F (strongly bounded, unconditionally converging, weakly completely continuous, completely continuous, weakly compact, nuclear, and strictly singular) and the corresponding operator measures given by Riesz representing theorems.
Some applications concerning the coincidence among these classes of operators are derived.
American Psychological Association (APA)
Nowak, Marian. 2015. Some Classes of Continuous Operators on Spaces of Bounded Vector-Valued Continuous Functions with the Strict Topology. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1068324
Modern Language Association (MLA)
Nowak, Marian. Some Classes of Continuous Operators on Spaces of Bounded Vector-Valued Continuous Functions with the Strict Topology. Journal of Function Spaces No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1068324
American Medical Association (AMA)
Nowak, Marian. Some Classes of Continuous Operators on Spaces of Bounded Vector-Valued Continuous Functions with the Strict Topology. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1068324
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068324