Bøger af Nik Weaver

This book provides an introduction to measure theory and functional analysis suitable for a beginning graduate course, and is based on notes the author had developed over several years of teaching such a course. It is unique in placing special emphasis on the separable setting, which allows for a simultaneously more detailed and more elementary exposition, and for its rapid progression into advanced topics in the spectral theory of families of self-adjoint operators. The author's notion of measurable Hilbert bundles is used to give the spectral theorem a particularly elegant formulation not to be found in other textbooks on the subject.

Presenting an array of new topics, "Mathematical Quantization" explores operator algebras. For graduate students, this text offers an introduction to a large area of active research, and for professionals in operating algebras and functional analysis, it provides a tour of the field.