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On symmetry in certain
group algebras
Duane W. Bailey |
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Vol. 24 (1968), No. 3, 413–419
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Abstract |
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A complex Banach algebra A with involution x → x∗ is symmetric if Sp (x∗x) ⊂ [0,∞) for each x ∈ A. It is shown that (i) if A is symmetric, the algebra of all n × n matrices with elements from A is symmetric, and (ii) the group algebra of any semi-direct product of a finite group with a locally compact group having a symmetric group algebra is again symmetric. |
Mathematical Subject Classification
Primary: 46.60
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Milestones
Received: 20 May 1964
Revised: 5 April 1967
Published: 1 March 1968
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Authors |
| Duane W. Bailey | |
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