ABSTRACT

With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures. This approach makes possible, with minimal mathematical detail, a unified treatment of a

chapter 1|18 pages

Quantum Mechanics

chapter 2|26 pages

Hilbert Spaces

chapter 3|28 pages

Operators

chapter 4|18 pages

The Quantum Plane

chapter 5|34 pages

C*-algebras

chapter 6|22 pages

Von Neumann algebras

chapter 7|20 pages

Quantum Field Theory

chapter 8|24 pages

Operator Spaces

chapter 9|28 pages

Hilbert Modules

chapter 10|30 pages

Lipschitz Algebras

chapter 11|16 pages

Quantum Groups