On my Min-Max Theorem (1968) and its consequences

Abstract

Central to the origins of my operator trigonometry, a theory in which I initiated the concepts of antieigenvalues and antieigenvectors, is my 1968 Min-Max Theorem. I will discuss its motivation, proof, and consequences. Special emphasis will be given here to a new view that sin φ(A) may be viewed as a general optimum which encompasses many other optima of individual interest.