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Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Function Algebras
Joint Authors
Alimohammadi, Davood
Honary, Taher Ghasemi
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Let X be a compact Hausdorff space and let τ be a topological involution on X.
In 1988, Kulkarni and Arundhathi studied Choquet and Shilov boundaries for real uniform function algebras on (X,τ).
Then in 2000, Kulkarni and Limaye studied the concept of boundaries and Choquet sets for uniformly closed real subspaces and subalgebras of C(X,τ) or C(X).
In 1971, Dales obtained some properties of peak sets and p-sets for complex Banach function algebras on X.
Later in 1990, Arundhathi presented some results on peak sets for real uniform function algebras on (X,τ).
In this paper, while we present a brief account of the work of others, we extend some of their results, either to real subspaces of C(X,τ) or to real Banach function algebras on (X,τ).
American Psychological Association (APA)
Alimohammadi, Davood& Honary, Taher Ghasemi. 2013. Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Function Algebras. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1006107
Modern Language Association (MLA)
Alimohammadi, Davood& Honary, Taher Ghasemi. Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Function Algebras. Journal of Function Spaces No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1006107
American Medical Association (AMA)
Alimohammadi, Davood& Honary, Taher Ghasemi. Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Function Algebras. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1006107
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006107