Single and multi-valued Hilbert-bundle renormings
Functional Analysis
2024-12-12 v1 Category Theory
General Topology
Operator Algebras
Abstract
We prove that subhomogeneous continuous Banach bundles over compact metrizable spaces are equivalent to Hilbert bundles, while examples show that the metrizability assumption cannot be dropped completely. This complements the parallel statement for homogeneous bundles without the metrizability assumption, and generalizes the analogous result to the effect that subhomogeneous bundles over compact metrizable spaces admit finite-index expectations.
Cite
@article{arxiv.2412.08094,
title = {Single and multi-valued Hilbert-bundle renormings},
author = {Alexandru Chirvasitu},
journal= {arXiv preprint arXiv:2412.08094},
year = {2024}
}
Comments
14 pages + references