Measurable Functional Calculi and Spectral Theory

Operator Theory - Spectra and Functional Calculi

Feynman’s Operational Calculi: Spectral Theory for Noncommuting Self-Adjoint Operators

The spectral theorem for commuting self-adjoint operators along with the associated functional (or operational) calculus is among the most useful and beautiful results of analysis. It is well known that forming a functional calculus for noncommuting self-adjoint operators is far more problematic. The central result of this paper establishes a rich functional calculus for any finite number of no...

Calculi for Interactive Systems: Theory and Experiment

The objectives of the project were, briefly: (1) To study and design a foundational calculus and prototype programming language, based on the π-calculus, for describing and analysing migratory distributed systems; (2) To further develop the theory of action calculi, a graphical formalisation of interactive systems, to compare disciplines and study common concepts; (3) To test this framework upo...

Measurable Utility and the Measurable Choice Theorem

Generalized Rings of Measurable and Continuous Functions

This paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.