Open AccessBanach-Stone theorems for Banach bundles
Author(s) -
Terje Hõim,
David Robbins
Publication year - 2005
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2005.09.08
Subject(s) - mathematics , dual polyhedron , banach space , eberlein–šmulian theorem , banach manifold , pure mathematics , approximation property , regular polygon , lp space , discrete mathematics , geometry
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.