ProofWiki:Mathematicians/Frigyes Riesz
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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.
Contents |
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 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
