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operator algebra

   Also found in: Wikipedia 0.01 sec.
operator algebra [′äp·ə‚rād·ər ‚al·jə·brə]
(mathematics)
An algebra whose elements are functions and in which the multiplication of two elements ƒ andgis defined by composition; that is, (ƒg)(x) = (ƒ°g)(x) = ƒ[g(x)].


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237 QA326 Originally published in Japanese for a Surveys in Geometry workshop held in Tokyo, Japan, in 1998, this translation offers an overview of operator algebra theory.
Ringrose, Fundamentals of the Theory of Operator Algebras, Elementary Theory, New York, 1983.
88 QA326 Built from lectures and other work on approximation theory in the context of operator algebras, this text explains most of the numerous types of approximation properties important to recent and current research and provides proofs of fundamental results only previously available scattered across the literature.
 
 
 
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