Zhu K. An Introduction to Operator Algebras

CRC Press, 1993. — 168 p. — (Studies in Advanced Mathematics). — ISBN13: 9781315137292.Focuses on the fundamental results in operator algebras. This work discusses results including Gelfand's representation of commutative C*-algebras, the GNS construction, the spectral theorem, polar decomposition, von Neumann's double commutant theorem, Kaplansky's density theorem and the functional calculus for normal operators.Banach Algebras
C*-Algebras
Von Neumann Algebras