Mathematician:Frigyes Riesz

Mathematician
Hungarian mathematician who developed the field of functional analysis.

Gave an elementary proof of the Mean Ergodic Theorem.

Elder brother of the mathematician.

Nationality
Hungarian

History

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

Theorems and Definitions

 * Riesz's Convergence Theorem
 * Riesz's Lemma
 * Riesz Representation Theorem (Hilbert Spaces)
 * Riesz Representation Theorem (for duals of function spaces $\map {C_c} X$ and $\map {C_0} X$)
 * Riesz-Markov-Kakutani Representation Theorem (with and )


 * F. and M. Riesz Theorem (with )
 * Riesz-Fischer Theorem (independently of )


 * Riesz Functional Calculus
 * Riesz Space
 * Radon-Riesz Property (with )


 * Proximity Space

Publications

 * 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 )
 * 1928: Sur la décomposition des opérations fonctionelles linéaires
 * 1953: Leçons d'analyse fonctionnelle (with )
 * 1988: Funkcionálanalízis (with )
 * 1990: (with ; translated by )