Banach Algebras Satisfying the Non-Unital Von Neumann Inequality

P. G. Dixon

doi:10.1112/blms/27.4.359

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Banach Algebras Satisfying the Non-Unital Von Neumann Inequality

P. G. Dixon

Year: 1995 Journal: Bulletin of the London Mathematical Society Vol: 27 (4)Pages: 359-362 Publisher: Wiley

DOI: 10.1112/blms/27.4.359

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Abstract

There is a Banach algebra satisfying the von Neumann inequality for polynomials in a single variable, without constant term, which is not isomorphic to a norm-closed algebra of operators on a Hilbert space.

Keywords:

Mathematics Unital Von Neumann algebra Von Neumann architecture Pure mathematics Abelian von Neumann algebra Norm (philosophy) Hilbert space Affiliated operator Inequality Algebra over a field Jordan algebra Mathematical analysis Algebra representation

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Advanced Banach Space Theory

Physical Sciences → Mathematics → Mathematical Physics

Holomorphic and Operator Theory

Physical Sciences → Mathematics → Applied Mathematics

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Banach Algebras Satisfying the Non-Unital Von Neumann Inequality

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