Unitary Banach algebras

Julio Becerra Guerrero; Simon Cowell; Ángel Rodríguez Palacios; Geoffrey V. Wood

doi:10.4064/sm162-1-3

Unitary Banach algebras

Julio Becerra Guerrero, Simon Cowell, Ángel Rodríguez Palacios, Geoffrey V. Wood

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In a Banach algebra an invertible element which has norm one and whose inverse has norm one is called unitary. The algebra is unitary if the closed convex hull of the unitary elements is the closed unit ball. The main examples are the C*-algebras and the l₁ group algebra of a group. In this paper, different characterizations of unitary algebras are obtained in terms of numerical ranges, dentability and holomorphy. In the process some new characterizations of C*-algebras are given.

Original language	English
Pages (from-to)	25-51
Number of pages	27
Journal	Studia Mathematica
Volume	162
Issue number	1
DOIs	https://doi.org/10.4064/sm162-1-3
Publication status	Published - 2004

ASJC Scopus subject areas

Mathematics(all)

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10.4064/sm162-1-3

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Unitary Banach algebras

Abstract

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