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- W4289299449 abstract "We study the spectrum $M_b(U)$ of the algebra of bounded type holomorphic functions on a complete Reinhardt domain in a symmetrically regular Banach space $E$ as an analytic manifold over the bidual of the space. In the case that $U$ is the unit ball of $ell_p$, $1<p<infty$, we prove that each connected component of $M_b(B_{ell_p})$ naturally identifies with a ball of a certain radius. We also provide estimates for this radius and in many natural cases we have the precise value. As a consequence, we obtain that for connected components different from that of evaluations, these radii are strictly smaller than one, and can be arbitrarily small. We also show that for other Banach sequence spaces, connected components do not necessarily identify with balls." @default.
- W4289299449 created "2022-08-02" @default.
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- W4289299449 date "2018-11-09" @default.
- W4289299449 modified "2023-09-27" @default.
- W4289299449 title "The algebra of bounded type holomorphic functions on the ball" @default.
- W4289299449 doi "https://doi.org/10.48550/arxiv.1811.04103" @default.
- W4289299449 hasPublicationYear "2018" @default.
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