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.

List of contents

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.

About the author

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

Summary

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.

Product details

• Authors: Philip J Maher, Philip J. Maher
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 31.08.2017
• EAN: 9783319611693
• ISBN: 978-3-31-961169-3
• No. of pages: 106
• Dimensions: 161 mm x 242 mm x 12 mm
• Weight: 292 g
• Illustrations: X, 106 p. 6 illus.
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; B, Quantenphysik (Quantenmechanik und Quantenfeldtheorie), Mathematics and Statistics, Functional Analysis, Quantum Physics, Quantum physics (quantum mechanics & quantum field theory), Differential calculus & equations, Functional analysis & transforms, Operator Theory, Approximations and Expansions, Approximation theory