Ring homomorphisms on H(G)
It is shown that a ring homomorphism on H(G), the algebra of analytic functions on a regular region G in the complex plane, is either linear or conjugate linear provided that the ring homomorphism takes the identity function into a nonconstant function.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117129000059X |
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| _version_ | 1832567513867616256 |
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| author | N. R. Nandakumar |
| author_facet | N. R. Nandakumar |
| author_sort | N. R. Nandakumar |
| collection | DOAJ |
| description | It is shown that a ring homomorphism on H(G), the algebra of analytic functions on a regular region G in the complex plane, is either linear or conjugate linear provided that the ring homomorphism takes the identity function into a nonconstant function. |
| format | Article |
| id | doaj-art-4f31a9a5f01a47d48ff9cce5da2e50c8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4f31a9a5f01a47d48ff9cce5da2e50c82025-02-03T01:01:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113239339610.1155/S016117129000059XRing homomorphisms on H(G)N. R. Nandakumar0Department of Mathematical Sciences, University of Delaware, Newark 19716, Delaware, USAIt is shown that a ring homomorphism on H(G), the algebra of analytic functions on a regular region G in the complex plane, is either linear or conjugate linear provided that the ring homomorphism takes the identity function into a nonconstant function.http://dx.doi.org/10.1155/S016117129000059Xring homomorphismalgebra of analytic functionlinearconjugate linear. |
| spellingShingle | N. R. Nandakumar Ring homomorphisms on H(G) International Journal of Mathematics and Mathematical Sciences ring homomorphism algebra of analytic function linear conjugate linear. |
| title | Ring homomorphisms on H(G) |
| title_full | Ring homomorphisms on H(G) |
| title_fullStr | Ring homomorphisms on H(G) |
| title_full_unstemmed | Ring homomorphisms on H(G) |
| title_short | Ring homomorphisms on H(G) |
| title_sort | ring homomorphisms on h g |
| topic | ring homomorphism algebra of analytic function linear conjugate linear. |
| url | http://dx.doi.org/10.1155/S016117129000059X |
| work_keys_str_mv | AT nrnandakumar ringhomomorphismsonhg |