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Principal ideals and semi-direct products in commutative Banach algebras

โœ Scribed by Marc P Thomas


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
793 KB
Volume
101
Category
Article
ISSN
0022-1236

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Prime-like Elements and Semi-direct Prod
โœ Marc P. Thomas ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 423 KB

We develop results which show that elements in the radical of a commutative Banach algebra are often precluded from having prime-like properties if we avoid certain exceptional situations involving torsion elements. This makes the proof of the Singer-Wermer conjecture conceptually much clearer. It a