Frigyes Riesz
   HOME

TheInfoList



Click Here for Items Related To - Frigyes Riesz
OR:
Frigyes Riesz on:   [Wikipedia]   [Google]   [Amazon]

Frigyes Riesz (, , sometimes known in English and French as Frederic Riesz; 22 January 1880 – 28 February 1956) was a HungarianEberhard Zeidler: Nonlinear Functional Analysis and Its Applications: Linear monotone operators. Springer, 199

/ref>
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
who made fundamental contributions to
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 (for example, Inner product space#Definition, inner product, Norm (mathematics ...
, as did his younger brother Marcel Riesz.


Life and career

He was born into a
Jewish Jews (, , ), or the Jewish people, are an ethnoreligious group and nation, originating from the Israelites of History of ancient Israel and Judah, ancient Israel and Judah. They also traditionally adhere to Judaism. Jewish ethnicity, rel ...
family in
Győr Győr ( , ; ; names of European cities in different languages: E-H#G, names in other languages) is the main city of northwest Hungary, the capital of Győr-Moson-Sopron County and Western Transdanubia, Western Transdanubia region, and – halfwa ...
,
Austria-Hungary Austria-Hungary, also referred to as the Austro-Hungarian Empire, the Dual Monarchy or the Habsburg Monarchy, was a multi-national constitutional monarchy in Central Europe#Before World War I, Central Europe between 1867 and 1918. A military ...
and died in
Budapest Budapest is the Capital city, capital and List of cities and towns of Hungary, most populous city of Hungary. It is the List of cities in the European Union by population within city limits, tenth-largest city in the European Union by popul ...
,
Hungary Hungary is a landlocked country in Central Europe. Spanning much of the Pannonian Basin, Carpathian Basin, it is bordered by Slovakia to the north, Ukraine to the northeast, Romania to the east and southeast, Serbia to the south, Croatia and ...
. Between 1911 and 1919 he was a professor at the Franz Joseph University in Kolozsvár, Austria-Hungary. The post-WW1
Treaty of Trianon The Treaty of Trianon (; ; ; ), often referred to in Hungary as the Peace Dictate of Trianon or Dictate of Trianon, was prepared at the Paris Peace Conference (1919–1920), Paris Peace Conference. It was signed on the one side by Hungary ...
transferred former Austro-Hungarian territory including Kolozsvár to the
Kingdom of Romania The Kingdom of Romania () was a constitutional monarchy that existed from with the crowning of prince Karl of Hohenzollern-Sigmaringen as King of Romania, King Carol I of Romania, Carol I (thus beginning the Romanian royal family), until 1947 wit ...
, whereupon Kolozsvár's name changed to
Cluj Cluj-Napoca ( ; ), or simply Cluj ( , ), is a city in northwestern Romania. It is the second-most populous city in the country and the seat of Cluj County. Geographically, it is roughly equidistant from Bucharest (), Budapest () and Belgrade ( ...
and the University of Kolozsvár moved to
Szeged Szeged ( , ; see also #Etymology, other alternative names) is List of cities and towns of Hungary#Largest cities in Hungary, the third largest city of Hungary, the largest city and regional centre of the Southern Great Plain and the county seat ...
, Hungary, becoming the
University of Szeged The University of Szeged () is a Public university, public research university in Szeged, Hungary. Established as the Jesuit Academy of Kolozsvár in present-day Cluj-Napoca in 1581, the institution was re-established as a university in 1872 by ...
. Then, Riesz was the rector and a professor at the University of Szeged, as well as a member of the Hungarian Academy of Sciences. and the Polish Academy of Learning. He was the older brother of the mathematician Marcel Riesz. Riesz did some of the fundamental work in developing
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 (for example, Inner product space#Definition, inner product, Norm (mathematics ...
and his work has had a number of important applications in physics. He established the
spectral theory In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operator (mathematics), operators in a variety of mathematical ...
for bounded symmetric operators in a form very much like that now regarded as standard. He also made many contributions to other areas including
ergodic theory Ergodic theory is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, "statistical properties" refers to properties which are expressed through the behav ...
,
topology Topology (from the Greek language, Greek words , and ) is the branch of mathematics concerned with the properties of a Mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformat ...
and he gave an elementary proof of the mean ergodic theorem. Together with
Alfréd Haar Alfréd Haar (; 11 October 1885, Budapest – 16 March 1933, Szeged) was a Kingdom of Hungary, Hungarian mathematician. In 1904 he began to study at the University of Göttingen. His doctorate was supervised by David Hilbert. The Haar me ...
, Riesz founded the '' Acta Scientiarum Mathematicarum'' journal. 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 wrote the appropriate equations on the blackboard—while Riesz himself stood aside, nodding occasionally. The Swiss-American mathematician Edgar Lorch spent 1934 in Szeged working under Riesz and wrote a reminiscence about his time there, including his collaboration with Riesz. The corpus of his bibliography was compiled by the mathematician Pál Medgyessy.Pál Medgyessy's entry
in ''Tudósnaptár'' ("Calendar of Scientists")


Publications

*


See also

*
Proximity space In topology, a proximity space, also called a nearness space, is an axiomatization of the intuitive notion of "nearness" that hold set-to-set, as opposed to the better known point-to-set notion that characterize topological spaces. The concept was ...
* Rising sun lemma * Denjoy–Riesz theorem * F. and M. Riesz theorem *
Riesz representation theorem The Riesz representation theorem, sometimes called the Riesz–Fréchet representation theorem after Frigyes Riesz and Maurice René Fréchet, establishes an important connection between a Hilbert space and its continuous dual space. If the un ...
* Riesz-Fischer theorem * Riesz groups * Riesz's lemma * Riesz projector * Riesz sequence *
Riesz space In mathematics, a Riesz space, lattice-ordered vector space or vector lattice is a partially ordered vector space where the order structure is a lattice. Riesz spaces are named after Frigyes Riesz who first defined them in his 1928 paper ''S ...
* Radon-Riesz property


References


External links

* * * {{DEFAULTSORT:Riesz, Frigyes 1880 births 1956 deaths Academic staff of the University of Szeged 19th-century Hungarian mathematicians 20th-century Hungarian mathematicians Mathematical analysts Functional analysts Operator theorists Mathematicians from Budapest Members of the Hungarian Academy of Sciences Burials at Kerepesi Cemetery Academic staff of Franz Joseph University Rectors of the Franz Joseph University Mathematicians from Austria-Hungary