Banach-Stone theorems for Banach bundles

  • Terje Hõim Florida Atlantic University
  • David A. Robbins Trinity College
Keywords: Banach bundle, Banach-Stone theorem

Abstract

We prove two Banach-Stone type theorems for section spaces of real Banach bundles. The first theorem assumes that the duals of all fibers are strictly convex, and the second considers disjointness-preserving operators. In each case, the result generalizes the corresponding Banach-Stone theorem for spaces of continuous vector-valued functions.

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Author Biographies

Terje Hõim, Florida Atlantic University

Department of Mathematics

David A. Robbins, Trinity College

Department of Mathematics

Published
2005-12-31
Section
Articles