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Vlastimil Pták
Vlastimil Pták (; November 8, 1925 in Prague – May 5 1999) was a Czech mathematician, who worked in functional analysis, theoretical numerical analysis, and linear algebra. Notable early work include generalizations of the open mapping theorem. During 1945–49 Vlastimil Pták studied mathematics and physics at the Charles University in Prague. Later, he worked at the university and since 1952 in Mathematical Institute of Czechoslovak Academy of Sciences The Czechoslovak Academy of Sciences (Czech: ''Československá akademie věd'', Slovak: ''Česko-slovenská akadémia vied'') was established in 1953 to be the scientific center for Czechoslovakia. It was succeeded by the Czech Academy of Science .... In 1965 he was named professor at the Charles University. He has published more than 160 mathematical research papers. He had three Ph.D. students: Nicholas Young, Michal Zajac and Miroslav Engliš. Selected publications *''Completeness and the open mapping theorem.'' Bul ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prague
Prague ( ; cs, Praha ; german: Prag, ; la, Praga) is the capital and largest city in the Czech Republic, and the historical capital of Bohemia. On the Vltava river, Prague is home to about 1.3 million people. The city has a temperate oceanic climate, with relatively warm summers and chilly winters. Prague is a political, cultural, and economic hub of central Europe, with a rich history and Romanesque, Gothic, Renaissance and Baroque architectures. It was the capital of the Kingdom of Bohemia and residence of several Holy Roman Emperors, most notably Charles IV (r. 1346–1378). It was an important city to the Habsburg monarchy and Austro-Hungarian Empire. The city played major roles in the Bohemian and the Protestant Reformations, the Thirty Years' War and in 20th-century history as the capital of Czechoslovakia between the World Wars and the post-war Communist era. Prague is home to a number of well-known cultural attractions, many of which survived the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Charles University In Prague
Charles University ( cs, Univerzita Karlova, UK; la, Universitas Carolina; german: Karls-Universität), also known as Charles University in Prague or historically as the University of Prague ( la, Universitas Pragensis, links=no), is the oldest and largest university in the Czech Republic. It is one of the List of oldest universities in continuous operation, oldest universities in Europe in continuous operation. Today, the university consists of 17 faculties located in Prague, Hradec Králové, and Plzeň. Charles University belongs among the top three universities in Central and Eastern Europe. It is ranked around 200–300 in the world. History Medieval university (1349–1419) The establishment of a medieval university in Prague was inspired by Holy Roman Emperor Charles IV, Holy Roman Emperor, Charles IV. He asked his friend and ally, Pope Clement VI, to do so. On 26 January 1347 the pope issued the bull establishing a university in Prague, modeled on the University of Paris, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1925 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slip ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1999 Deaths
File:1999 Events Collage.png, From left, clockwise: The funeral procession of King Hussein of Jordan in Amman; the 1999 İzmit earthquake kills over 17,000 people in Turkey; the Columbine High School massacre, one of the first major school shootings in the United States; the Year 2000 problem ("Y2K"), perceived as a major concern in the lead-up to the year 2000; the Millennium Dome opens in London; online music downloading platform Napster is launched, soon a source of online piracy; NASA loses both the Mars Climate Orbiter and the Mars Polar Lander; a destroyed T-55 tank near Prizren during the Kosovo War., 300x300px, thumb rect 0 0 200 200 Death and state funeral of King Hussein rect 200 0 400 200 1999 İzmit earthquake rect 400 0 600 200 Columbine High School massacre rect 0 200 300 400 Kosovo War rect 300 200 600 400 Year 2000 problem rect 0 400 200 600 Mars Climate Orbiter rect 200 400 400 600 Napster rect 400 400 600 600 Millennium Dome 1999 was designated as the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Czechoslovak Mathematicians
Czechoslovak may refer to: *A demonym or adjective pertaining to Czechoslovakia (1918–93) ** First Czechoslovak Republic (1918–38) **Second Czechoslovak Republic (1938–39) ** Third Czechoslovak Republic (1948–60) ** Fourth Czechoslovak Republic (1960–89) **Fifth Czechoslovak Republic (1989–93) *''Czechoslovak'', also ''Czecho-Slovak'', any grouping of the Czech and Slovak ethnicities: **As a national identity, see Czechoslovakism **The title of Symphony no. 8 in G Major op. 88 by Antonín Dvořák in 1889/90 *The Czech–Slovak languages, a West Slavic dialect continuum **The Czechoslovak language, a theoretical standardized form defined as the state language of Czechoslovakia in its Constitution of 1920 ** Comparison of Czech and Slovak See also * Slovak Republic (other) * Czech Republic (other) * Czechia (other) * Slovak (other) * Czech (other) Czech may refer to: * Anything from or related to the Czech Republic, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nicholas Young (mathematician)
Nicholas John Young is a British mathematician working in operator theory, functional analysis and several complex variables. He is a research professor at the University of Leeds. Much of his work has been about the interaction of operator theory and function theory. Publications Young has written more than a hundred papers, over 30 of them in collaboration with Jim Agler. He is the author of the book ''An Introduction to Hilbert Space In mathematics, Hilbert spaces (named after David Hilbert) allow generalizing the methods of linear algebra and calculus from (finite-dimensional) Euclidean vector spaces to spaces that may be infinite-dimensional. Hilbert spaces arise natural ...''. His Ph.D. adviser was Vlastimil Pták, and he has had 5 Ph.D. students. References 1943 births Living people Academics of the University of Leeds Hilbert space Operator theorists 20th-century British mathematicians Alumni of the University of Oxford {{UK-mathematician- ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Czechoslovak Academy Of Sciences
The Czechoslovak Academy of Sciences (Czech: ''Československá akademie věd'', Slovak: ''Česko-slovenská akadémia vied'') was established in 1953 to be the scientific center for Czechoslovakia. It was succeeded by the Czech Academy of Sciences (''Akademie věd České republiky'') and Slovak Academy of Sciences (''Slovenská akadémia vied'') in 1992. History The Royal Czech Society of Sciences, which encompassed both the humanities and the natural sciences, was established in the Czech Crown lands in 1784. After the Communist regime came to power in Czechoslovakia in 1948, all scientific, non-university institutions and learned societies were dissolved and, in their place, the Czechoslovak Academy of Sciences was founded by Act No. 52/1952. It comprised both a complex of research institutes and a learned society. The Slovak Academy of Sciences, established in 1942 and re-established in 1953, was a formal part of the Czechoslovak Academy of Sciences from 1960 to 1992. During ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ákos Császár
Ákos Császár ( hu, Császár Ákos, ) (26 February 1924, Budapest – 14 December 2017, Budapest) was a Hungarian mathematician, specializing in general topology and real analysis. He discovered the Császár polyhedron, a nonconvex polyhedron without diagonals. He introduced the notion of syntopogeneous spaces, a generalization of topological spaces. During the end of 1944 his grandfather lost his life during the siege of Budapest. Then his father, older brother and himself were arrested by the Germans and sent to a concentration camp approximatively 45 miles east of Budapest. An infectious illness spread in the camp, and his brother and father died, but Ákos survived. He is a member of the group of five students of the late professor Lipót Fejér who called them "The Big Five". The other four are John Horvath, János Aczél, Steven Gaal and László Fuchs, all of whom are now retired mathematics professors in North America. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Czechs
The Czechs ( cs, Češi, ; singular Czech, masculine: ''Čech'' , singular feminine: ''Češka'' ), or the Czech people (), are a West Slavic ethnic group and a nation native to the Czech Republic in Central Europe, who share a common ancestry, culture, history, and the Czech language. Ethnic Czechs were called Bohemians in English until the early 20th century, referring to the former name of their country, Bohemia, which in turn was adapted from the late Iron Age tribe of Celtic Boii. During the Migration Period, West Slavic tribes settled in the area, "assimilated the remaining Celtic and Germanic populations", and formed a principality in the 9th century, which was initially part of Great Moravia, in form of Duchy of Bohemia and later Kingdom of Bohemia, the predecessors of the modern republic. The Czech diaspora is found in notable numbers in the United States, Canada, Israel, Austria, Germany, Slovakia, Ukraine, Switzerland, Italy, the United Kingdom, Australia, France, Russ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Victor Klee
Victor LaRue Klee, Jr. (September 18, 1925 – August 17, 2007) was a mathematician specialising in convex sets, functional analysis, analysis of algorithms, optimization, and combinatorics. He spent almost his entire career at the University of Washington in Seattle. Life Born in San Francisco, Vic Klee earned his B.A. degree in 1945 with high honors from Pomona College, majoring in mathematics and chemistry. He did his graduate studies, including a thesis on Convex Sets in Linear Spaces, and received his PhD in mathematics from the University of Virginia in 1949. After teaching for several years at the University of Virginia, he moved in 1953 to the University of Washington in Seattle, Washington, where he was a faculty member for 54 years. He died in Lakewood, Ohio. Research Klee wrote more than 240 research papers. He proposed Klee's measure problem and the art gallery problem. Kleetopes are also named after him, as is the Klee–Minty cube, which shows that the simpl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Open Mapping Theorem (functional Analysis)
In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem or the Banach theorem (named after Stefan Banach and Juliusz Schauder), is a fundamental result which states that if a bounded or continuous linear operator between Banach spaces is surjective then it is an open map. Classical (Banach space) form This proof uses the Baire category theorem, and completeness of both X and Y is essential to the theorem. The statement of the theorem is no longer true if either space is just assumed to be a normed space, but is true if X and Y are taken to be Fréchet spaces. Suppose A : X \to Y is a surjective continuous linear operator. In order to prove that A is an open map, it is sufficient to show that A maps the open unit ball in X to a neighborhood of the origin of Y. Let U = B_1^X(0), V = B_1^Y(0). Then X = \bigcup_ k U. Since A is surjective: Y = A(X) = A\left(\bigcup_ k U\right) = \bigcup_ A(kU). But Y is Banach so by Baire's category t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
