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Stable ranks of Banach algebras of operator-valued analytic functions

Sasane, Amol J. (2009) Stable ranks of Banach algebras of operator-valued analytic functions. Complex Analysis and Operator Theory, 3 (1). pp. 323-330. ISSN 1661-8254

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Identification Number: 10.1007/s11785-008-0046-1


Let E be a separable infinite-dimensional Hilbert space, and let H(D; (E)) denote the algebra of all functions f:D (E) that are holomorphic. If is a subalgebra of H(D; (E)) , then using an algebraic result of Corach and Larotonda, we derive that under some conditions, the Bass stable rank of is infinite. In particular, we deduce that the Bass (and hence topological stable ranks) of the Hardy algebra H (D; (E)), the disk algebra A(D; (E)) and the Wiener algebra W+(D; (E)) are all infinite.

Item Type: Article
Official URL:
Additional Information: © 2009 Birkhaeuser Verlag AG
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 27 Jul 2011 15:08
Last Modified: 20 May 2021 00:47
Projects: NAL/32420
Funders: Nuffield Grant

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