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.

Table des matières

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.

A propos de l'auteur

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

Résumé

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.

Détails du produit

• Auteurs: Philip J Maher, Philip J. Maher
• Edition: Springer, Berlin
• Langues: Anglais
• Format d'édition: Livre de poche
• Sortie: 01.01.2018
• EAN: 9783319870199
• ISBN: 978-3-31-987019-9
• Pages: 106
• Dimensions: 155 mm x 6 mm x 235 mm
• Poids: 192 g
• Illustrations: X, 106 p. 6 illus.
• Catégories: Sciences naturelles, médecine, informatique, technique > Mathématiques > Analyse; 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