Operator Approximant Problems Arising from Quantum Theory

• Main Author: Maher, Philip J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Subjects: Mathematics.; Approximation theory.; Functional analysis.; Operator theory.; Quantum physics.; Operator Theory.; Functional Analysis.; Approximations and Expansions.; Quantum Physics.

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. Focusi...

Table 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.