Generators of maximal left ideals in Banach algebras

H. G. Dales; W. Żelazko

doi:10.4064/sm212-2-5

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Generators of maximal left ideals in Banach algebras

H. G. Dales W. Żelazko

Year: 2012 Journal: Studia Mathematica Vol: 212 (2)Pages: 173-193 Publisher: Polish Academy of Sciences

DOI: 10.4064/sm212-2-5

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Abstract

In 1971, Grauert and Remmert proved that a commutative, complex, Noetherian Banach algebra is necessarily finite-dimensional. More precisely, they proved that a commutative, complex Banach algebra has finite dimension over $\mathbb C$ whenever all the c

Keywords:

Mathematics Noetherian Commutative property Pure mathematics Banach algebra Algebra over a field Banach space

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Advanced Banach Space Theory

Physical Sciences → Mathematics → Mathematical Physics

Advanced Operator Algebra Research

Physical Sciences → Mathematics → Mathematical Physics

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Generators of maximal left ideals in Banach algebras

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