Single and multi-valued Hilbert-bundle renormings

Autor:	Chirvasitu, Alexandru
Rok vydání:	2024
Předmět:	Mathematics - Functional Analysis Mathematics - Category Theory Mathematics - General Topology Mathematics - Operator Algebras 46B03 46M20 54C65 46C05 52A21 52A01 54E35 54B20
Druh dokumentu:	Working Paper
Popis:	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 $C^*$ bundles over compact metrizable spaces admit finite-index expectations. Comment: 14 pages + references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.08094 Zobrazit plný text záznamu View this record from Arxiv