Operator Approximant Problems Arising from Quantum Theory

This book offers an account of a number of aspects of operator theory, mainly developed since the 1980s, whose problems have their roots in quantum theory. The research presented is in non-commutative operator approximation theory or, to use Halmos' terminology, in operator approximants. Focusing on the concept of approximants, this self-contained book is suitable for graduate courses.

Covers essential aspects about approximants in Hilbert space Provides historical notes Includes exercises in each chapter

Autorentext
Philip J. Maher is a former Senior lecturer in mathematics at Middlesex University.

Inhalt
What this book is about: approximants.- Preliminaries.- Self-adjoint and positive approximants.- Commutator approximants.- Spectral, and numerical range, approximants.- Unitary, isometric and partially isometric approximation of positive operators.