Abstract
We study the maximal ideal space of , where B is the unit ball of . Following the lead of Gleason and Schark, we analyse Gleason parts, fibers, the Sĭlov boundary and other aspects of this Banach algebra. Our work here makes good use of the inner functions construction of Aleksandrov and Hakim/Løw/Sibony, particularly as formulated by Rudin (using ideas of Ryll and Wojtaszczyk).
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