Year: 2025
Type: article
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 $$C^*$$ C ∗ bundles over compact metrizable spaces admit finite-index expectations.
Source: Annals of Functional Analysis
Author: Alexandru Chirvasitu
Institution: University at Buffalo, State University of New York
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
OpenAlex ID: W4410116443