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Algebraic elements of
a Banach algebra modulo an ideal
Bruce Alan Barnes |
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Vol. 117 (1985), No. 2, 219–231
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Abstract |
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Let A be a Banach algebra and rad(A) its Jacobson radical. It is classical that if f2 −f ∈ rad(A), then ∃e ∈ A such that e2 = e and e−f ∈ rad(A). Calkin and Olsen have proved related results when A is the algebra of all bounded linear operators on a Hilbert space H and the ideal is the ideal of compact operators on H. In this paper we consider a Banach algebra A with unit and an ideal K of A and prove generalizations of some of these results. |
Mathematical Subject Classification 2000
Primary: 46H10
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Milestones
Received: 10 May 1983
Revised: 24 December 1984
Published: 1 April 1985
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Authors |
| Bruce Alan Barnes | |
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