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Algebras of Symmetric Holomorphic Functions on lp |
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| Authors: | Alencar Raymundo; Aron Richard; Galindo Pablo; Zagorodnyuk Andriy |
| Institution: | Instituto Tecnologico de Aeronautica S.J. Campos, S.P., Brazil; ralencar{at}ief.ita.br Department of Mathematics, Kent State University Kent, OH 44242, USA; aron{at}mcs.kent.edu Departamento de Análisis Matemático, Universidad de Valencia Doctor Moliner 50, 46100 Burjasot (Valencia), Spain; Pablo.Galindo{at}uv.es Inst. for Applied Problems of Mechanics and Mathematics, Ukrainian Academy of Sciences 3 b, Naukova Str., Lviv, Ukraine, 290601; sirand{at}mebm.lviv.ua |
| Abstract: | The authors study the algebra of uniformly continuous holomorphicsymmetric functions on the ball of lp, investigating in particularthe spectrum of such algebras. To do so, they examine the algebraof symmetric polynomials on lp-spaces, as well as finitely generatedsymmetric algebras of holomorphic functions. Such symmetricpolynomials determine the points in lp up to a permutation. |
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