English

Measurable bundles of Banach algebras

Functional Analysis 2014-04-15 v1 Operator Algebras

Abstract

In the present paper we investigate Banach--Kantorovich algebras over faithful solid subalgebras of algebras measurable functions. We prove that any Banach--Kantorovich algebra over faithful solid subalgebras of algebra measurable functions represented as a measurable bundle of Banach algebras with vector-valued lifting. We apply such representation to the spectrum of elements Banach--Kantorovich algebras.

Keywords

Cite

@article{arxiv.1404.3345,
  title  = {Measurable bundles of Banach algebras},
  author = {Inomjon Ganiev and Farrukh Mukhamedov and Karimbergen Kudaybergenov},
  journal= {arXiv preprint arXiv:1404.3345},
  year   = {2014}
}

Comments

11 pages