Journal of Operator Theory

Volume 33, Issue 1, Winter 1995 pp. 79-104.

Operator properties of module maps

Authors: Bruce A. Barnes
Author institution:Department of Mathematics, University of Oregon, Eugene, Oregon 97403, U.S.A.

Summary: The aim of this paper is to study operator theoretical properties of module maps, for example, the spectral theory or closed range results. Developing spectral theory in Banach algebra $\mathcal C(\Omega, B(X))$, where $\Omega$ is a compact Hausdorff space and X is a Banach space, or in other Banach algebras of B(X)-valued functions is a part of this program.

Keywords: Module maps, Banach algebras, spectral theory.

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