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Shoichiro Sakai
is a Japanese mathematician. Life Sakai studied mathematics at the Tohoku University (Sendai). He there received the B. A. degree in 1953 and a doctorate at the same University in 1961. From 1960 to 1964, he was a faculty member of Waseda University. He then went to the University of Pennsylvania, where he became a professor in 1966 and remained until 1979. He then returned to Japan and went to the Nihon University. In 1992, he received the Japanese Mathematical Society Autumn Prize. He is a fellow of the American Mathematical Society. Sakai's main field is functional analysis and mathematical physics Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and t .... His textbook published in the Springer series in C *-algebras and W *-algebras, in which W *-algebras as C *-algebras are introd ...
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Kanuma, Tochigi
Imamiya Shrine Festival is a city located in Tochigi Prefecture, Japan. , the city had an estimated population of 94,926 in 36,795 households, and a population density of 190 persons per km². The total area of the town is . Geography Kanuma is located in central Tochigi Prefecture. The cities is located in the northern part of the Kanto region. The western half of the city area is occupied by the Ashio Mountains, and the eastern half by a diluvial plateau called Kanuma Plateau. The city is bordered by the prefectural capital of Utsunomiya to the east. Surrounding municipalities Tochigi Prefecture * Utsunomiya * Tochigi * Sano * Nikko * Mibu Gunma Prefecture * Midori Climate Kanuma has a Humid subtropical climate (Köppen ''Cfa'') characterized by warm summers and cold winters with heavy snowfall. The average annual temperature in Kanuma is . The average annual rainfall is with September as the wettest month. The temperatures are highest on average in August, at around , ...
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Theorem Of Kadison-Sakai
In mathematics, a theorem is a statement that has been proved, or can be proved. The ''proof'' of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of the axioms and previously proved theorems. In the mainstream of mathematics, the axioms and the inference rules are commonly left implicit, and, in this case, they are almost always those of Zermelo–Fraenkel set theory with the axiom of choice, or of a less powerful theory, such as Peano arithmetic. A notable exception is Wiles's proof of Fermat's Last Theorem, which involves the Grothendieck universes whose existence requires the addition of a new axiom to the set theory. Generally, an assertion that is explicitly called a theorem is a proved result that is not an immediate consequence of other known theorems. Moreover, many authors qualify as ''theorems'' only the most important results, and use the terms ''lemma'', ''proposition'' and ...
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Functional Analysts
Functional may refer to: * Movements in architecture: ** Functionalism (architecture) ** Form follows function * Functional group, combination of atoms within molecules * Medical conditions without currently visible organic basis: ** Functional symptom ** Functional disorder * Functional classification for roads * Functional organization * Functional training In mathematics * Functional (mathematics), a term applied to certain scalar-valued functions in mathematics and computer science ** Functional analysis ** Linear functional, a type of functional often simply called a functional in the context of functional analysis * Higher-order function, also called a functional, a function that takes other functions as arguments In computer science, software engineering * (C++), a header file in the C++ Standard Library * Functional design, a paradigm used to simplify the design of hardware and software devices * Functional model, a structured representation of functions, activities ...
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Fellows Of The American Mathematical Society
Fellows may refer to Fellow, in plural form. Fellows or Fellowes may also refer to: Places * Fellows, California, USA * Fellows, Wisconsin, ghost town, USA Other uses * Fellows Auctioneers, established in 1876. *Fellowes, Inc., manufacturer of workspace products *Fellows, a partner in the firm of English canal carriers, Fellows Morton & Clayton * Fellows (surname) See also *North Fellows Historic District, listed on the National Register of Historic Places in Wapello County, Iowa *Justice Fellows (other) Justice Fellows may refer to: * Grant Fellows (1865–1929), associate justice of the Michigan Supreme Court * Raymond Fellows (1885–1957), associate justice of the Maine Supreme Judicial Court {{disambiguation, tndis ...
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21st-century Japanese Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor, a ...
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Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ...
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1928 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 Slipk ...
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Narutaka Ozawa
(born 1974) is a Japanese mathematician, known for his work in operator algebras and discrete groups. He has been a professor at Kyoto University since 2013. He earned a bachelor's degree in mathematics in 1997 from the University of Tokyo and a Ph.D. in mathematics in 2000 from the same institution. One year later he received a Ph.D. in mathematics from Texas A&M University. He was selected for one of the prestigious Sloan Research Fellowships in 2005 and was an invited speaker at the 2006 ICM in Madrid where he gave a talk on "Amenable actions and Applications". He has won numerous prizes including the Mathematical Society of Japan (MSJ) Spring Prize and the Japan Society for the Promotion of Science (JSPS) Prize. Before becoming a full professor at Kyoto University in 2013, he was an associate professor at the University of Tokyo and at University of California, Los Angeles The University of California, Los Angeles (UCLA) is a public land-grant research university in L ...
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Waseda University
, abbreviated as , is a private university, private research university in Shinjuku, Tokyo. Founded in 1882 as the ''Tōkyō Senmon Gakkō'' by Ōkuma Shigenobu, the school was formally renamed Waseda University in 1902. The university has numerous notable alumni, including nine Prime Minister of Japan, prime ministers of Japan, a number of important figures of Japanese literature, including Haruki Murakami, and many CEOs, including Tadashi Yanai, the CEO of UNIQLO, Nobuyuki Idei, the former CEO of Sony, Takeo Fukui, the former president and CEO of Honda, Norio Sasaki, the former CEO of Toshiba, Lee Kun-hee, the chairman of Samsung Group, Mikio Sasaki, the former chairman of Mitsubishi, and Hiroshi Yamauchi and Shuntaro Furukawa, former and current presidents of Nintendo respectively. Waseda was ranked 26th and 48th globally in the QS Graduate Employability Rankings 2017 and Times Higher Education Alma Mater Index 2017, respectively. Waseda is regarded as one of the most selective ...
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Mathematical Physics
Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories". An alternative definition would also include those mathematics that are inspired by physics (also known as physical mathematics). Scope There are several distinct branches of mathematical physics, and these roughly correspond to particular historical periods. Classical mechanics The rigorous, abstract and advanced reformulation of Newtonian mechanics adopting the Lagrangian mechanics and the Hamiltonian mechanics even in the presence of constraints. Both formulations are embodied in analytical mechanics and lead to understanding the deep interplay of the notions of symmetry (physics), symmetry and conservation law, con ...
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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 (e.g. Inner product space#Definition, inner product, Norm (mathematics)#Definition, norm, Topological space#Definition, topology, etc.) and the linear transformation, linear functions defined on these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of function space, spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous function, continuous, unitary operator, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential equations, differential and integral equations. The usage of the word ''functional (mathematics), functional'' as a noun goes back to the calculus of variati ...
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