Representation of Banach Algebras with an
Involution
In 1943 Gelfand and Neumark (3) characterized uniformly closed self-adjoint algebras of bounded operators on a Hilbert space as Banach algebras with an involution (a conjugate linear anti-isomorphism of period two) satisfying several additional conditions. The main purpose of this paper is to point out that if we consider algebras of bounded operators on complex Banach spaces more general than Hilbert space, then we can represent a larger class of algebras by essentially the same methods.
1974 ◽
Vol 19
(2)
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pp. 173-190
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1985 ◽
Vol 37
(4)
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pp. 664-681
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2005 ◽
Vol 71
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pp. 107-111
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2010 ◽
Vol 88
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pp. 205-230
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2012 ◽
Vol 262
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pp. 124-166
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2009 ◽
Vol 61
(1)
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pp. 124-140
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1994 ◽
Vol 05
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pp. 201-212
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