Published: January 1987
...a beautiful exposition of the general theory and applications of Saks Spaces in Functional Analysis... very useful to workers in this and related fields...
J.B. Prolla, Zentralblatt für Mathematik
- I. Mixed Topologies. Basic Theory. Examples. Saks Spaces. Special Results. Miscellanea. II. Spaces of Bounded, Continuous Functions. The Strict Topologies. Algebras of Bounded, Continuous Functions. Duality Theory. Vector-Valued Functions. Generalised Strict Topologies. Representation of Operators on C∞(X). Uniform Measures. III. Spaces of Bounded, Measurable Functions. The Mixed Topologies. Linear Operators and Vector Measures. Vector-Valued Measurable Functions. Measurable and Integrable Functions with Values in a Saks Space. IV. Von Neumann Algebras. The Algebra of Operators in Hilbert Spaces. Von Neumann Algebras. Spectral Theory in Hilbert Space. V. Spaces of Bounded Holomorphic Functions. Mixed Topologies on H∞. The Mixed Topologies on H∞(U). The Algebra H∞. The H∞-Functional Calculus for Completely Non Unitary Contractions. The Mackey Topology of H∞. Index.