By Kehe Zhu
An creation to Operator Algebras is a concise text/reference that specializes in the elemental leads to operator algebras. effects mentioned contain Gelfand's illustration of commutative C*-algebras, the GNS building, the spectral theorem, polar decomposition, von Neumann's double commutant theorem, Kaplansky's density theorem, the (continuous, Borel, and L8) practical calculus for regular operators, and kind decomposition for von Neumann algebras. routines are supplied after every one bankruptcy.
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Extra info for An Introduction to Operator Algebras
Example text
Of a Banach algebra A. 1 Functionals Linear Multiplicative In this lecture we of A is commutative, we shall with on A can be identified if cp is nontrivial tive multiplicative linear In particular, II cp II > 1. ) on A. functional shows result Banach the == 1. 1 DEFINITION that the show on a Banach algebra space. When ideal maximal the functionals linear multiplicative study the notion introduce and Functionals) Linear Multiplicative cp is a linear multiplicative a Banach on functional algebra A.
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