Journal of Operator Theory

Volume 45, Issue 1, Winter 2001 pp. 175-193.

A multiplicity theory for analytic functions that take values in a class of Banach algebras

Authors: Jon Arason (1), and Robert Magnus (2)
Author institution: (1) University Science Institute, Dunhaga 3, IS--107, Reykjavik, Iceland
(2) University Science Institute, Dunhaga 3, IS--107, Reykjavik, Iceland

Summary: The theories of linearization, suspension equivalence and multiplicity, previously known for analytic operator-valued functions, are generalized to analytic functions with values in a class of Banach algebras. This consists of the quotient of the class of all bounded operators by an operator ideal.

Keywords: Analytic operator-valued functions, multiplicity theories, linearization, Banach algebras, operator ideals

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