CDAM Research Report, LSE-CDAM-2009-04
Topological stable rank of H∞(Ω) for circular domains Ω
Raymond Mortini, Rudolf Rupp, Amol Sasane and Brett WickLet O be a circular domain, that is, an open disk with finitely many closed disjoint disks removed. Denote by R the Banach algebra of all bounded holomorphic functions on O, with pointwise operations and the supremum norm. We show that the topological stable rank of R is equal to 2.
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