Frigyes Riesz
Encyclopedia
Frigyes Riesz was a mathematician
who was born in Győr
, Hungary
(Austria-Hungary
) and died in Budapest
, Hungary
. He was rector
and professor
at University of Szeged
. He was the older brother of the mathematician Marcel Riesz
.
Riesz did some of the fundamental work in developing functional analysis
and his work has had a number of important applications in physics. His work built on ideas which had been introduced by Fréchet
, Lebesgue
, Hilbert
and others. He also made many contributions to other areas including ergodic theory
and he gave an elementary proof of the mean ergodic theorem.
Riesz founded the Acta Scientiarum Mathematicarum
magazine together with Alfréd Haar
.
He had an uncommon method of giving lectures: he entered the lecture hall with an assistant and a docent. The docent then began reading the proper passages from Riesz's handbook and the assistant inscribed the appropriate equations on the blackboard—while Riesz himself stood aside, nodding occasionally.
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
who was born in Győr
Gyor
-Climate:-Main sights:The ancient core of the city is Káptalan Hill at the confluence of three rivers: the Danube, Rába and Rábca. Püspökvár, the residence of Győr’s bishops can be easily recognised by its incomplete tower. Győr’s oldest buildings are the 13th-century dwelling tower and the...
, Hungary
Hungary
Hungary , officially the Republic of Hungary , is a landlocked country in Central Europe. It is situated in the Carpathian Basin and is bordered by Slovakia to the north, Ukraine and Romania to the east, Serbia and Croatia to the south, Slovenia to the southwest and Austria to the west. The...
(Austria-Hungary
Austria-Hungary
Austria-Hungary , more formally known as the Kingdoms and Lands Represented in the Imperial Council and the Lands of the Holy Hungarian Crown of Saint Stephen, was a constitutional monarchic union between the crowns of the Austrian Empire and the Kingdom of Hungary in...
) and died in Budapest
Budapest
Budapest is the capital of Hungary. As the largest city of Hungary, it is the country's principal political, cultural, commercial, industrial, and transportation centre. In 2011, Budapest had 1,733,685 inhabitants, down from its 1989 peak of 2,113,645 due to suburbanization. The Budapest Commuter...
, Hungary
Hungary
Hungary , officially the Republic of Hungary , is a landlocked country in Central Europe. It is situated in the Carpathian Basin and is bordered by Slovakia to the north, Ukraine and Romania to the east, Serbia and Croatia to the south, Slovenia to the southwest and Austria to the west. The...
. He was rector
Rector
The word rector has a number of different meanings; it is widely used to refer to an academic, religious or political administrator...
and professor
Professor
A professor is a scholarly teacher; the precise meaning of the term varies by country. Literally, professor derives from Latin as a "person who professes" being usually an expert in arts or sciences; a teacher of high rank...
at University of Szeged
University of Szeged
The University of Szeged is one of Hungary's most distinguished universities, and is among the most prominent higher education institutions in Central Europe...
. He was the older brother of the mathematician Marcel Riesz
Marcel Riesz
Marcel Riesz was a Hungarian mathematician who was born in Győr, Hungary . He moved to Sweden in 1908 and spent the rest of his life there, dying in Lund, where he was a professor from 1926 at Lund University...
.
Riesz did some of the fundamental work in developing functional analysis
Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure and the linear operators acting upon these spaces and respecting these structures in a suitable sense...
and his work has had a number of important applications in physics. His work built on ideas which had been introduced by Fréchet
Maurice René Fréchet
Maurice Fréchet was a French mathematician. He made major contributions to the topology of point sets and introduced the entire concept of metric spaces. He also made several important contributions to the field of statistics and probability, as well as calculus...
, Lebesgue
Henri Lebesgue
Henri Léon Lebesgue was a French mathematician most famous for his theory of integration, which was a generalization of the seventeenth century concept of integration—summing the area between an axis and the curve of a function defined for that axis...
, Hilbert
David Hilbert
David Hilbert was a German mathematician. He is recognized as one of the most influential and universal mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of...
and others. He also made many contributions to other areas including ergodic theory
Ergodic theory
Ergodic theory is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. Its initial development was motivated by problems of statistical physics....
and he gave an elementary proof of the mean ergodic theorem.
Riesz founded the Acta Scientiarum Mathematicarum
Acta Scientiarum Mathematicarum
Acta Scientiarum Mathematicarum is a Hungarian mathematical journal, edited and published in Szeged, at the János Bolyai Mathematical Institute of the University of Szeged. It was founded by Alfréd Haar and Frigyes Riesz in 1922. The current editor-in-chief is László Kérchy....
magazine together with Alfréd Haar
Alfréd Haar
Alfréd Haar was a Jewish Hungarian mathematician. In 1904 he began to study at the University of Göttingen. His doctorate was supervised by David Hilbert. The Haar measure, Haar wavelet, and Haar transform are named in his honor....
.
He had an uncommon method of giving lectures: he entered the lecture hall with an assistant and a docent. The docent then began reading the proper passages from Riesz's handbook and the assistant inscribed the appropriate equations on the blackboard—while Riesz himself stood aside, nodding occasionally.
See also
- Riesz representation theoremRiesz representation theoremThere are several well-known theorems in functional analysis known as the Riesz representation theorem. They are named in honour of Frigyes Riesz.- The Hilbert space representation theorem :...
- F. and M. Riesz theoremF. and M. Riesz theoremIn mathematics, the F. and M. Riesz theorem is a result of the brothers Frigyes Riesz and Marcel Riesz, on analytic measures. It states that for a measure μ on the circle, any part of μ that is not absolutely continuous with respect to the Lebesgue measure dθ can be detected by means of Fourier...
- Proximity spaceProximity spaceIn topology, a proximity space is an axiomatization of notions of "nearness" that hold set-to-set, as opposed to the better known point-to-set notions that characterize topological spaces....
- Riesz-Fischer theorem
- Riesz spaceRiesz spaceIn mathematics a Riesz space, lattice-ordered vector space or vector lattice is an ordered vector space where the order structure is a lattice....
- Radon-Riesz property