Fundamentals of the Theory of Operator Algebras
by Richard V. Kadison, John R. Ringrose · Richard V. Kadison, John R. Ringrose
Volume I of Kadison and Ringrose's graduate treatise on operator algebras, covering the functional analysis the subject needs: Banach and Hilbert spaces, bounded operators, weak topologies, then C*-algebras and the basics of von Neumann algebras. Many exercises develop the theory further.
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