Work

Multiplicative (in)stability of Banach Algebras

Year: 2025

Type: article

Abstract: The concept of stability has proved very useful in the field of Banach space geometry. In this note, we introduce and study a corresponding concept in the setting of Banach algebras, which we call multiplicative stability. As we shall prove, various interesting examples of Banach algebras are multiplicatively unstable, and hence unstable in the model-theoretic sense. The examples include Fourier algebras over noncompact amenable groups, $C^*$ -algebras and the measure algebra of an infinite compact group.

Source: Bulletin of the Australian Mathematical Society

DOI: 10.1017/s0004972725000127

Authors: STEFANO FERRI, MATTHIAS NEUFANG

Institutions: Universidad de Los Andes, Centre National de la Recherche Scientifique, Laboratoire Paul Painlevé, Université Lille 1, Carleton University

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,550

OpenAlex ID: W4408535326

FWCI:

Cites: 20

Cited by: 1

Related to: 10