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Operator algebras generated by commuting projections: a vector measure approach

This book presents a systematic investigation of the theory of those commutative, unital subalgebras (of bounded linear operators acting in a Banach space) which are closed for some given topology and are generated by a uniformly bounded Boolean algebra of projections. One of the main aims is to emp...

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Detalles Bibliográficos
Autor principal: Ricker, Werner
Lenguaje:eng
Publicado: Springer 1999
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0096184
http://cds.cern.ch/record/1691578
Descripción
Sumario:This book presents a systematic investigation of the theory of those commutative, unital subalgebras (of bounded linear operators acting in a Banach space) which are closed for some given topology and are generated by a uniformly bounded Boolean algebra of projections. One of the main aims is to employ the methods of vector measures and integration as a unifying theme throughout. This yields proofs of several classical results which are quite different to the classical ones. This book is directed to both those wishing to learn this topic for the first time and to current experts in the field.