|
Scottish Café
The Scottish Café ( pl, Kawiarnia Szkocka) was a café in Lwów, Poland (now Lviv, Ukraine) where, in the 1930s and 1940s, mathematicians from the Lwów School of Mathematics collaboratively discussed research problems, particularly in functional analysis and topology. Stanisław Ulam recounts that the tables of the café had marble tops, so they could write in pencil, directly on the table, during their discussions. To keep the results from being lost, and after becoming annoyed with their writing directly on the table tops, Stefan Banach's wife provided the mathematicians with a large notebook, which was used for writing the problems and answers and eventually became known as the '' Scottish Book''. The book—a collection of solved, unsolved, and even probably unsolvable problems—could be borrowed by any of the guests of the café. Solving any of the problems was rewarded with prizes, with the most difficult and challenging problems having expensive prizes (during the Gre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
27 Prospekt Shevchenka, Lviv
7 (seven) is the natural number following 6 and preceding 8. It is the only prime number preceding a cube (algebra), cube. As an early prime number in the series of positive integers, the number seven has greatly symbolic associations in religion, mythology, superstition and philosophy. The seven Classical planets resulted in seven being the number of days in a week. It is often considered lucky in Western culture and is often seen as Symbolism of the Number 7, highly symbolic. Unlike Western culture, in Vietnamese culture, the number seven is sometimes considered unlucky. It is the first natural number whose pronunciation contains more than one syllable. Evolution of the Arabic digit In the Brahmi numerals, beginning, Indians wrote 7 more or less in one stroke as a curve that looks like an uppercase vertically inverted. The western Ghubar Arabs' main contribution was to make the longer line diagonal rather than straight, though they showed some tendencies to making the digit m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Approximation Problem
In functional analysis, a branch of mathematics, a compact operator is a linear operator T: X \to Y, where X,Y are normed vector spaces, with the property that T maps bounded subsets of X to relatively compact subsets of Y (subsets with compact closure in Y). Such an operator is necessarily a bounded operator, and so continuous. Some authors require that X,Y are Banach, but the definition can be extended to more general spaces. Any bounded operator ''T'' that has finite rank is a compact operator; indeed, the class of compact operators is a natural generalization of the class of finite-rank operators in an infinite-dimensional setting. When ''Y'' is a Hilbert space, it is true that any compact operator is a limit of finite-rank operators, so that the class of compact operators can be defined alternatively as the closure of the set of finite-rank operators in the norm topology. Whether this was true in general for Banach spaces (the approximation property) was an unsolved question ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Adam Mickiewicz University In Poznań
The Adam Mickiewicz University ( pl, Uniwersytet im. Adama Mickiewicza w Poznaniu; Latin: ''Universitas Studiorum Mickiewicziana Posnaniensis'') is a research university in Poznań, Poland. It traces its origins to 1611, when under the Royal Charter granted by King Sigismund III Vasa, the Jesuit College became the first university in Poznań. The Poznań Society for the Advancement of Arts and Sciences which played an important role in leading Poznań to its reputation as a chief intellectual centre during the Age of Positivism and partitions of Poland, initiated founding of the university. The inauguration ceremony of the newly founded institution took place on 7 May 1919 that is 308 years after it was formally established by the Polish king and on 400th anniversary of the foundation of the Lubrański Academy which is considered its predecessor. Its original name was Piast University (Polish: ''Wszechnica Piastowska''), which later in 1920 was renamed to University of PoznaŠ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gus Ward
Gus is a masculine name, often a diminutive for Angus, August, Augustine, or Augustus, and other names (e.g. Aengus, Argus, Fergus, Ghassan, Gustav, Gustave, Gustafson, Gustavo, Gussie). It can also be used as the adaptation into English of the popular Greek name (of Latin origin) Kostas or Konstantinos (Constantin), especially amongst Greek immigrants in English-speaking countries, probably due to similarity in the sound. Gus may refer to: People Given name * Gus Arnheim (1897–1955), American pianist, bandleader and songwriter * Gus Edwards (vaudeville) (1878–1945), German-born American songwriter, vaudevillian and music producer, born Gustave Schmelowsky * Gus Edwards (American football) (born 1995), American football player * Gus Hall (1910–2000), longtime leader of the Communist Party USA, born Arvo Kustaa Halberg * Gus Johnson (basketball) (1938–1987), American National Basketball Association player * Gus Johnson (jazz musician) (1913–2000), American jazz drum ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hugo Steinhaus
Hugo Dyonizy Steinhaus ( ; ; January 14, 1887 – February 25, 1972) was a Polish mathematician and educator. Steinhaus obtained his PhD under David Hilbert at Göttingen University in 1911 and later became a professor at the Jan Kazimierz University in Lwów (now Lviv, Ukraine), where he helped establish what later became known as the Lwów School of Mathematics. He is credited with "discovering" mathematician Stefan Banach, with whom he gave a notable contribution to functional analysis through the Banach–Steinhaus theorem. After World War II Steinhaus played an important part in the establishment of the mathematics department at Wrocław University and in the revival of Polish mathematics from the destruction of the war. Author of around 170 scientific articles and books, Steinhaus has left his legacy and contribution in many branches of mathematics, such as functional analysis, geometry, mathematical logic, and trigonometry. Notably he is regarded as one of the early found ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Juliusz Schauder
Juliusz Paweł Schauder (; 21 September 1899, Lwów, Austria-Hungary – September 1943, Lwów, Occupied Poland) was a Polish mathematician of Jewish origin, known for his work in functional analysis, partial differential equations and mathematical physics. Life and career Born on 21 September 1899 in Lwów, he was drafted into the Austro-Hungarian Army right after his graduation from school and saw action on the Italian front. He was captured and imprisoned in Italy. He entered the university in Lwów in 1919 and received his doctorate in 1923. He got no appointment at the university and continued his research while working as teacher at a secondary school. Due to his outstanding results, he obtained a scholarship in 1932 that allowed him to spend several years in Leipzig and, especially, Paris. In Paris he started a very successful collaboration with Jean Leray. Around 1935 Schauder obtained the position of a senior assistant in the University of Lwów. Schauder, along with ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stanisław Saks
Stanisław Saks (30 December 1897 – 23 November 1942) was a Polish mathematician and university tutor, a member of the Lwów School of Mathematics, known primarily for his membership in the Scottish Café circle, an extensive monograph on the theory of integrals, his works on measure theory and the Vitali–Hahn–Saks theorem. Life and work Stanisław Saks was born on 30 December 1897 in Kalisz, Congress Poland, to an assimilated Polish-Jewish family. In 1915 he graduated from a local gymnasium and joined the newly recreated Warsaw University. In 1922 he received a doctorate of his '' alma mater'' with a prestigious distinction ''maxima cum laude''. Soon afterwards he also passed his habilitation and received the Rockefeller fellowship, which allowed him to travel to the United States. Around that time he started publishing articles in various mathematical journals, mostly the ''Fundamenta Mathematicae'', but also in the ''Transactions of the American Mathematical Society'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kazimierz Kuratowski
Kazimierz Kuratowski (; 2 February 1896 – 18 June 1980) was a Polish mathematician and logician. He was one of the leading representatives of the Warsaw School of Mathematics. Biography and studies Kazimierz Kuratowski was born in Warsaw, (then part of Congress Poland controlled by the Russian Empire), on 2 February 1896, into an assimilated Jewish family. He was a son of Marek Kuratow, a barrister, and Róża Karzewska. He completed a Warsaw secondary school, which was named after general Paweł Chrzanowski. In 1913, he enrolled in an engineering course at the University of Glasgow in Scotland, in part because he did not wish to study in Russian; instruction in Polish was prohibited. He completed only one year of study when the outbreak of World War I precluded any further enrolment. In 1915, Russian forces withdrew from Warsaw and Warsaw University was reopened with Polish as the language of instruction. Kuratowski restarted his university education there the same year, this ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bronisław Knaster
BronisÅ‚aw Knaster (22 May 1893 – 3 November 1980) was a Polish mathematician; from 1939 a university professor in Lwów and from 1945 in WrocÅ‚aw. He is known for his work in point-set topology and in particular for his discoveries in 1922 of the hereditarily indecomposable continuum or pseudo-arc and of the Knaster continuum, or buckethandle continuum. Together with his teacher Hugo Steinhaus and his colleague Stefan Banach, he also developed the last diminisher procedure for fair cake cutting. Knaster received his Ph.D. degree from University of Warsaw in 1925, under the supervision of Stefan Mazurkiewicz. See also *Knaster–Tarski theorem *Knaster–Kuratowski fan In topology, a branch of mathematics, the Knaster–Kuratowski fan (named after Polish mathematicians BronisÅ‚aw Knaster and Kazimierz Kuratowski) is a specific connected topological space with the property that the removal of a single point ... * Knaster's condition References 1893 births 199 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stefan Kaczmarz
Stefan Marian Kaczmarz (March 20, 1895 in Sambor, Galicia, Austria-Hungary – 1939) was a Polish mathematician. His Kaczmarz method provided the basis for many modern imaging technologies, including the CAT scan.. Kaczmarz was a professor of mathematics in the faculty of mechanical engineering of Jan Kazimierz University of Lwów from 1919 to 1939, where he collaborated with Stefan Banach. The circumstances of Kaczmarz's death are unclear. In early September 1939, after World War II broke out, he was called up for Polish military service as a reserve lieutenant. He sent a letter to his wife on 4 September and was not heard from afterwards. Theories for his death include the possibility that he died soon after near Nisko (the source of his last letter to his wife) in a German bombing raid on a train he was traveling in, that he died later that month in combat against the Germans near Umiastów, or that he was murdered by the NKVD in April or May 1940 as part of the Katyń m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marek Kac
Mark Kac ( ; Polish: ''Marek Kac''; August 3, 1914 – October 26, 1984) was a Polish American mathematician. His main interest was probability theory. His question, " Can one hear the shape of a drum?" set off research into spectral theory, the idea of understanding the extent to which the spectrum allows one to read back the geometry. (In the end, the answer was "no", in general.) Biography He was born to a Polish-Jewish family; their town, Kremenets (Polish: "Krzemieniec"), changed hands from the Russian Empire (by then Soviet Ukraine) to Poland after the Peace of Riga, when Kac was a child.Obituary in ''Rochester Democrat & Chronicle'', 11 November 1984 Kac completed his Ph.D. in mathematics at the Polish |
Karol Borsuk
Karol Borsuk (May 8, 1905 – January 24, 1982) was a Polish mathematician. His main interest was topology, while he obtained significant results also in functional analysis. Borsuk introduced the theory of '' absolute retracts'' (ARs) and ''absolute neighborhood retracts'' (ANRs), and the cohomotopy groups, later called Borsuk– Spanier cohomotopy groups. He also founded shape theory. He has constructed various beautiful examples of topological spaces, e.g. an acyclic, 3-dimensional continuum which admits a fixed point free homeomorphism onto itself; also 2-dimensional, contractible polyhedra which have no free edge. His topological and geometric conjectures and themes stimulated research for more than half a century; in particular, his open problems stimulated the infinite-dimensional topology. Borsuk received his master's degree and doctorate from Warsaw University in 1927 and 1930, respectively; his PhD thesis advisor was Stefan Mazurkiewicz. He was a member of the Polish ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
