向量值谱的纤维化描述
A fibered description of the vector-valued spectrum
摘要：
对于巴拿赫空间$X$和$Y$，我们研究了向量值谱$\mathcal M_\infty(B_X,B_Y)$，即从$\mathcal H^\infty(B_X)$到$\mathcal H^\infty(B_Y)$的非零代数同态的集合，它自然地投影到$\mathcal H^\infty(B_Y, X^{**})$的闭单位球上。本文的目的是描述由该投影定义的纤维，寻找解析球并考虑格里森零件。
英文摘要：
For Banach spaces $X$ and $Y$ we study the vector-valued spectrum $\mathcal M_\infty(B_X,B_Y)$, that is the set of non null algebra homomorphisms from $\mathcal H^\infty(B_X)$ to $\mathcal H^\infty(B_Y)$, which is naturally projected onto the closed unit ball of $\mathcal H^\infty(B_Y, X^{**})$. The aim of this article is to describe the fibers defined by this projection, searching for analytic balls and considering Gleason parts.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
