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Biseparating Maps on Fréchet Function Algebras
Joint Authors
Najafi Tavani, M.
Hashemi, M. S.
Honary, Taher Ghasemi
Source
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،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-994270
Modern Language Association (MLA)
Hashemi, M. S.…[et al.]. Biseparating Maps on Fréchet Function Algebras. Journal of Function Spaces No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-994270
American Medical Association (AMA)
Hashemi, M. S.& Honary, Taher Ghasemi& Najafi Tavani, M.. Biseparating Maps on Fréchet Function Algebras. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-994270
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994270