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Homomorphisms of Banach
algebras with minimal ideals
Gregory Frank Bachelis |
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Vol. 41 (1972), No. 2, 307–311
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Abstract |
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Let A be a semi-simple Banach algebra with socle F, and let ν be a homomorphism of A into a Banach algebra. It is shown that if I is a minimal one-sided ideal of A, then the restriction of v to I is continuous. This is then used to deduce continuity properties of the restriction of ν to F. In particular, if F has a bounded left or right approximate identity, then ν is continuous on F. |
Mathematical Subject Classification 2000
Primary: 46H05
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Milestones
Received: 20 May 1971
Published: 1 May 1972
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Authors |
| Gregory Frank Bachelis | |
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