Biseparating Maps on Fréchet Function Algebras
Joint Authors
Najafi Tavani, M.
Hashemi, M. S.
Honary, Taher Ghasemi
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-27
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Let A and B be strongly regular normal Fréchet function algebras on compact Hausdorff spaces X and Y, respectively, such that the evaluation homomorphisms are continuous on A and B.
Then, every biseparating map T:A→B is a weighted composition operator of the form Tf=h·(f∘φ), where φ is a homeomorphism from Y onto X and h is a nonvanishing element of B.
In particular, T is automatically continuous.
American Psychological Association (APA)
Hashemi, M. S.& Honary, Taher Ghasemi& Najafi Tavani, M.. 2012. Biseparating Maps on Fréchet Function Algebras. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-510436
Modern Language Association (MLA)
Hashemi, M. S.…[et al.]. Biseparating Maps on Fréchet Function Algebras. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-510436
American Medical Association (AMA)
Hashemi, M. S.& Honary, Taher Ghasemi& Najafi Tavani, M.. Biseparating Maps on Fréchet Function Algebras. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-510436
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510436