Ideals of algebras of analytic functions on Banach spaces |
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| Author |
Institute of Applied Problems of Mechanics and Mathematics
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| Abstract |
It is proved that if $X$ is not a symmetrically regular Banach
space then
there exist finite codimensional primary ideals on the algebra
of entire functions of bounded type on $X,$ $H_b(X)$ and on the algebra of
uniformly continuous bounded functions on the unit ball ${\cal B},$
$H_{uc}^\infty ({\cal B}).$
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| Keywords |
symmetrically regular Banach space, finite codimensional primary ideals, algebra of entire functions of bounded type on X, algebra of uniformly continuous bounded functions
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| DOI |
doi:10.30970/ms.17.1.102-104
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Reference |
1. Aron R. M., Galindo P., Garcia D., Maestre M., Regularity and algebras of analytic function in infinite dimensions, Trans. Amer. Math. Soc., 348 (1996), 543-559.
2. Dineen S., Complex Analysis on Infinite Dimensional Spaces, Springer Monographs in Mathematic, 1999. 3. Mujica J., Complex Analysis in Banach spaces, North-Holland, Amsterdam, 1986. |
| Pages |
102-104
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| Volume |
17
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| Issue |
1
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| Year |
2002
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| Journal |
Matematychni Studii
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| Full text of paper | |
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