Open AccessOn my Min-Max Theorem (1968) and its consequences
Author(s) -
Karl Gustafson
Publication year - 2010
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.276
H-Index - 6
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2010.14.05
Subject(s) - trigonometry , mathematical economics , mathematics , operator (biology) , calculus (dental) , algebra over a field , pure mathematics , mathematical analysis , medicine , biochemistry , chemistry , dentistry , repressor , transcription factor , gene
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.