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Projections in Banach Algebras
The Annals of Mathematics, 1951There have been two main contributions to the theory of operator algebras on Hilbert space. In a series of five memoirs, Murray and von Neumann have made important strides toward the structure theory of the weakly closed case. In work begun by the Russian school, a study has been made of the more general case where merely uniform closure is assumed. In
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Mathematics of the USSR-Izvestiya, 1980
This paper studies the structure of biprojective semisimple Banach algebras having the approximation property. It is shown that every such algebra can be represented as the completion of a direct sum of topologically simple biprojective Banach algebras.
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This paper studies the structure of biprojective semisimple Banach algebras having the approximation property. It is shown that every such algebra can be represented as the completion of a direct sum of topologically simple biprojective Banach algebras.
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1973
We now turn to a detailed discussion of a number of topics from pure algebra and the theory of Banach algebras. Most of the concepts and results treated here are essential for later use but from time to time we supplement these with other results which further illuminate these topics or make the discussion more complete.
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We now turn to a detailed discussion of a number of topics from pure algebra and the theory of Banach algebras. Most of the concepts and results treated here are essential for later use but from time to time we supplement these with other results which further illuminate these topics or make the discussion more complete.
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