A fibered description of the vector‐valued spectrum

Verónica Dimant and Joaquín Singer

Mathematische Nachrichten, 2020, vol. 293, issue 7, 1328-1344

Abstract: For Banach spaces X and Y we study the vector‐valued spectrum M∞(BX,BY), that is the set of non null algebra homomorphisms from H∞(BX) to H∞BY, which is naturally projected onto the closed unit ball of H∞(BY,X∗∗). The aim of this article is to describe the fibers defined by this projection, searching for analytic balls and considering Gleason parts.

Date: 2020
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https://doi.org/10.1002/mana.201800570

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