Saks Spaces and Applications to Functional Analysis

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^∞