Department of Mathematical Sciences Colloquium Series

Preservers on Quantum Structures

Professor Lajos Molnar University of Debrecen, Hungary

Preserver problems concern the question of determining or describing the general form of all transformations of a given structure X which preserve "something relevant" for X that can be a a quantity attached to the elements of X, or a distinguished set of elements of X, or a given relation among the elements of X, or a given operation on X, etc. Such problems arise in most parts of mathematics. They are systematically studied in matrix algebras and recently in infinite dimensional algebras (operator algebras, function algebras), too. In this talk we first give a general overview of the topic and then present several results concerning preservers on quantum structures (spaces of density operators, observables, and Hilbert space effects).

Tuesday, 28 April 2009 12:10 p.m. in Math 103 1:00 p.m. Refreshments in Math Lounge 109

Spring 2009 Colloquia & Events Schedule Mathematical Sciences | The University of Montana