Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Function Algebras
Let be a compact Hausdorff space and let be a topological involution on . In 1988, Kulkarni and Arundhathi studied Choquet and Shilov boundaries for real uniform function algebras on . Then in 2000, Kulkarni and Limaye studied the concept of boundaries and Choquet sets for uniformly closed real su...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/519893 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568200198356992 |
|---|---|
| author | Davood Alimohammadi Taher Ghasemi Honary |
| author_facet | Davood Alimohammadi Taher Ghasemi Honary |
| author_sort | Davood Alimohammadi |
| collection | DOAJ |
| description | Let be a compact Hausdorff space and let be a topological involution on . In 1988, Kulkarni and Arundhathi studied Choquet and Shilov boundaries for real uniform function algebras on . Then in 2000, Kulkarni and Limaye studied the concept of boundaries and Choquet sets for uniformly closed real subspaces and subalgebras of or . In 1971, Dales obtained some properties of peak sets and p-sets for complex Banach function algebras on . Later in 1990, Arundhathi presented some results on peak sets for real uniform function algebras on . 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 or to real Banach function algebras on . |
| format | Article |
| id | doaj-art-1f04615214e54a7c914630d61556e5a4 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-1f04615214e54a7c914630d61556e5a42025-02-03T00:59:29ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/519893519893Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Function AlgebrasDavood Alimohammadi0Taher Ghasemi Honary1Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, IranFaculty of Mathematical Sciences and Computer, Kharazmi University (Tarbiat Moallem University), 50 Taleghani Avenue, Tehran 15618-36314, IranLet be a compact Hausdorff space and let be a topological involution on . In 1988, Kulkarni and Arundhathi studied Choquet and Shilov boundaries for real uniform function algebras on . Then in 2000, Kulkarni and Limaye studied the concept of boundaries and Choquet sets for uniformly closed real subspaces and subalgebras of or . In 1971, Dales obtained some properties of peak sets and p-sets for complex Banach function algebras on . Later in 1990, Arundhathi presented some results on peak sets for real uniform function algebras on . 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 or to real Banach function algebras on .http://dx.doi.org/10.1155/2013/519893 |
| spellingShingle | Davood Alimohammadi Taher Ghasemi Honary Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Function Algebras Journal of Function Spaces and Applications |
| title | Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Function Algebras |
| title_full | Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Function Algebras |
| title_fullStr | Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Function Algebras |
| title_full_unstemmed | Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Function Algebras |
| title_short | Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Function Algebras |
| title_sort | choquet and shilov boundaries peak sets and peak points for real banach function algebras |
| url | http://dx.doi.org/10.1155/2013/519893 |
| work_keys_str_mv | AT davoodalimohammadi choquetandshilovboundariespeaksetsandpeakpointsforrealbanachfunctionalgebras AT taherghasemihonary choquetandshilovboundariespeaksetsandpeakpointsforrealbanachfunctionalgebras |