Mathematician:Frigyes Riesz

Hungarian mathematician who developed the field of functional analysis.

Gave an elementary proof of the Mean Ergodic Theorem.

Elder brother of the mathematician Marcel Riesz.

Nationality
Hungarian

History

 * Born: 22 Jan 1880, Györ, Austria-Hungary (now Hungary)
 * Died: 28 Feb 1956, Budapest, Hungary

Theorems and Definitions

 * Riesz Representation Theorem (Hilbert Spaces)
 * Riesz Representation Theorem (for duals of function spaces $C_c(X)$ and $C_0(X)$)
 * Riesz Functional Calculus
 * F. and M. Riesz Theorem (with Marcel Riesz)
 * Proximity Space
 * Riesz-Fischer Theorem (independently of Ernst Fischer)
 * Riesz's Convergence Theorem
 * Riesz Space
 * Radon-Riesz Property (with Johann Radon)

Books and Papers

 * 1907: Sur une espèce de géométrie analytiques des systèmes de fonctions sommables
 * 1907: Sur les systèmes orthogonaux de fonctions
 * 1909: Sur les opérations fonctionelles linéaires
 * 1916: Über die Randwerte einer analytischen Funktion (with Marcel Riesz)
 * 1928: Sur la décomposition des opérations fonctionelles linéaires