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Frigyes Riesz information


Frigyes Riesz
Born(1880-01-22)22 January 1880
Győr, Austria-Hungary
Died28 February 1956(1956-02-28) (aged 76)
Budapest, Hungary
CitizenshipHungarian
Known forFunctional analysis
Integral equations
Ergodic theory
Weak topology
Hardy space
Lp space
Proximity space
Denjoy–Riesz theorem
Herglotz–Riesz representation theorem
Riesz space
Riesz rearrangement inequality
Riesz's lemma
Riesz representation theorem
Riesz–Fischer theorem
Riesz projector
Radon–Riesz property
F. and M. Riesz theorem
F. Riesz's theorem
Riesz–Markov–Kakutani representation theorem
Scientific career
FieldsMathematics
Doctoral advisorGyula Vályi
Doctoral studentsJános Aczél
Steven Gaal
John Horvath
Tibor Radó
Alfréd Rényi

Frigyes Riesz (Hungarian: Riesz Frigyes, pronounced [ˈriːs ˈfriɟɛʃ], sometimes known in English and French as Frederic Riesz;[1] 22 January 1880 – 28 February 1956)[2] was a Hungarian[3] mathematician who made fundamental contributions to functional analysis, as did his younger brother Marcel Riesz.

  1. ^ W. J. Thron, Frederic Riesz' contributions to the foundations of general topology, in C.E. Aull and R. Lowen (eds.), Handbook of the History of General Topology, Volume 1, 21-29, Kluwer 1997.
  2. ^ O'Connor, John J.; Robertson, Edmund F., "Frigyes Riesz", MacTutor History of Mathematics Archive, University of St Andrews
  3. ^ Eberhard Zeidler: Nonlinear Functional Analysis and Its Applications: Linear monotone operators. Springer, 1990 [1]

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Frigyes Riesz

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Frigyes Riesz (Hungarian: Riesz Frigyes, pronounced [ˈriːs ˈfriɟɛʃ], sometimes known in English and French as Frederic Riesz; 22 January 1880 – 28 February...

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Riesz

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Riesz may refer to: Frigyes Riesz (1880–1956), Hungarian mathematician Marcel Riesz (1886–1969), Hungarian and Swedish mathematician, younger brother...

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Riesz representation theorem

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The Riesz representation theorem, sometimes called the Riesz–Fréchet representation theorem after Frigyes Riesz and Maurice René Fréchet, establishes...

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Riesz space

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are named after Frigyes Riesz who first defined them in his 1928 paper Sur la décomposition des opérations fonctionelles linéaires. Riesz spaces have wide-ranging...

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Hilbert space

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first decade of the 20th century by David Hilbert, Erhard Schmidt, and Frigyes Riesz. They are indispensable tools in the theories of partial differential...

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Marcel Riesz

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brother of Frigyes Riesz, who was also an important mathematician and at times they worked together (see F. and M. Riesz theorem). Marcel Riesz was born...

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Lp space

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the Bourbaki group (Bourbaki 1987) they were first introduced by Frigyes Riesz (Riesz 1910). Lp spaces form an important class of Banach spaces in functional...

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Positive harmonic function

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circle. This result, the Herglotz-Riesz representation theorem, was proved independently by Gustav Herglotz and Frigyes Riesz in 1911. It can be used to give...

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Riesz theorem

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The Riesz theorem may refer to any of several mathematical theorems due to brothers Frigyes Riesz and Marcel Riesz: F. and M. Riesz theorem F. Riesz's theorem...

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Riesz projector

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corresponding to an isolated part of the spectrum). It was introduced by Frigyes Riesz in 1912. Let A {\displaystyle A} be a closed linear operator in the...

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Hardy space

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functions on the unit disk or upper half plane. They were introduced by Frigyes Riesz (Riesz 1923), who named them after G. H. Hardy, because of the paper (Hardy...

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Proximity space

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that characterize topological spaces. The concept was described by Frigyes Riesz (1909) but ignored at the time. It was rediscovered and axiomatized...

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Taxicab geometry

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both Frigyes Riesz and Hermann Minkowski. The formalization of Lp spaces, which include taxicab geometry as a special case, is credited to Riesz. In developing...

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Connected space

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two separated sets) first appeared (independently) with N.J. Lennes, Frigyes Riesz, and Felix Hausdorff at the beginning of the 20th century. See for details...

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Rising sun lemma

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In mathematical analysis, the rising sun lemma is a lemma due to Frigyes Riesz, used in the proof of the Hardy–Littlewood maximal theorem. The lemma was...

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Acta Scientiarum Mathematicarum

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Institute (University of Szeged). It was established by Alfréd Haar and Frigyes Riesz in 1922. The current editor-in-chief is Lajos Molnár. The journal is...

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Real algebraic geometry

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conjecture about nonnegative trigonometric polynomials. (Solved by Frigyes Riesz.) 1927 Emil Artin's solution of Hilbert's 17th problem 1927 Krull–Baer...

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Fiume Road Graveyard

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(economist) Tivadar Puskás (engineer, inventor) Miklós Radnóti (poet) Frigyes Riesz (mathematician) Ignaz Semmelweis (doctor, "Saviour of Mothers") László...

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