Additive mappings on rings of holomorphic functions-Reference-Cited by-同舟云学术

Additive mappings on rings of holomorphic functions

Published:1983 Issue:1 Volume:89 Page:79-85
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Burckel R. B.,Saeki Sadahiro

Abstract

Additive maps T T between rings of holomorphic functions, which satisfy the multiplier-like condition T ( z f ) = ϕ T ( f ) T(zf) = \phi T(f) for some ϕ \phi and all f f , are characterized. No linearity or continuity assumptions are made. Earlier results by L. Bers on homomorphisms and by J. Becker on derivations are corollaries.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-089-01/S0002-9939-1983-0706515-0/S0002-9939-1983-0706515-0.pdf

Reference21 articles.

1. The valuation theory of meromorphic function fields;Alling, Norman L.,1968

2. Entire functions mapping arbitrary countable dense sets and their complements onto each other;Barth, K. F.;J. London Math. Soc. (2),1971

3. A note on derivations of algebras of analytic functions;Becker, Joseph;J. Reine Angew. Math.,1978

4. Homomorphisms into analytic rings;Becker, Joseph A.;Amer. J. Math.,1979

5. On rings of analytic functions;Bers, Lipman;Bull. Amer. Math. Soc.,1948

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Iss’sa’s Theorem. Domains of Holomorphy;Classical Topics in Complex Function Theory;1998

2. Paul Stäckel (1862–1919) — Mathematiker und Mathematikhistoriker;Überblicke Mathematik 1996/97;1997

3. Satz von Iss’sa. Holomorphiegebiete;Funktionentheorie 2;1995

4. Satz von Iss’sa. Holomorphiegebiete;Funktionentheorie 2;1991