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Albrecht Böttcher
Albrecht Böttcher (born 29 December 1954) is a German mathematician. His field of research is functional analysis. History Böttcher was born in Oberwiesenthal, Saxony, GDR. Between 1971 and 1973, he was in an elite class for mathematics at the Chemnitz University of Technology. In 1973, he won a silver medal at the 15th International Math Olympiad in Moscow. Böttcher studied mathematics from 1975 to 1979 in Chemnitz and then went to Rostov on Don in 1980 to study and earned a PhD there in 1984. After completing his dissertation, ''The finite section method for the Wiener-Hopf integral operator,'' he worked as scientist assistance at the university of Chemnitz. Since 1992, the professor for ''Harmonic Analysis and Operator theory'' at the Chemnitz University of Technology. Since 2020 he is professor emeritus. , he is the author of nine books and about 180 papers. Selected books * * * * See also * Pseudospectrum In mathematics, the pseudospectrum of an operator is a set conta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pseudospectrum
In mathematics, the pseudospectrum of an operator is a set containing the spectrum of the operator and the numbers that are "almost" eigenvalues. Knowledge of the pseudospectrum can be particularly useful for understanding non-normal operators and their eigenfunctions. The ε-pseudospectrum of a matrix ''A'' consists of all eigenvalues of matrices which are ε-close to ''A'': :\Lambda_\epsilon(A) = \. Numerical algorithms which calculate the eigenvalues of a matrix give only approximate results due to rounding and other errors. These errors can be described with the matrix ''E''. More generally, for Banach spaces In mathematics, more specifically in functional analysis, a Banach space (pronounced ) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vector ... X,Y and operators A: X \to Y , one can define the \epsilon-pseudospectrum of A (typically denote ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oberwiesenthal
Oberwiesenthal (; officially Kurort Oberwiesenthal) is a town and a ski resort in the district of Erzgebirgskreis in Saxony in Germany. It is situated in the Ore Mountains, on the border with the Czech Republic, 19 km south of Annaberg-Buchholz, and 23 km northeast of Karlovy Vary. At , it is the highest town in Germany.Official web site (in German) The and goldmedalist in |
Chemnitz University Of Technology
Chemnitz (; from 1953 to 1990: Karl-Marx-Stadt , ) is the third-largest city in the German state of Saxony after Leipzig and Dresden. It is the 28th largest city of Germany as well as the fourth largest city in the area of former East Germany after (East) Berlin, Leipzig and Dresden. The city is part of the Central German Metropolitan Region, and lies in the middle of a string of cities sitting in the densely populated northern foreland of the Elster and Ore Mountains, stretching from Plauen in the southwest via Zwickau, Chemnitz and Freiberg to Dresden in the northeast. Located in the Ore Mountain Basin, the city is surrounded by the Ore Mountains to the south and the Central Saxon Hill Country to the north. The city stands on the Chemnitz River (progression: ), which is formed through the confluence of the rivers Zwönitz and Würschnitz in the borough of Altchemnitz. The name of the city as well as the names of the rivers are of Slavic origin. Chemnitz is the third l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Math Olympiad
The International Mathematical Olympiad (IMO) is a mathematical olympiad for pre-university students, and is the oldest of the International Science Olympiads. The first IMO was held in Romania in 1959. It has since been held annually, except in 1980. More than 100 countries, representing over 90% of the world's population, send teams of up to six students, plus one team leader, one deputy leader, and observers. The content ranges from extremely difficult algebra and pre-calculus problems to problems on branches of mathematics not conventionally covered in secondary or high school and often not at university level either, such as projective and complex geometry, functional equations, combinatorics, and well-grounded number theory, of which extensive knowledge of theorems is required. Calculus, though allowed in solutions, is never required, as there is a principle that anyone with a basic understanding of mathematics should understand the problems, even if the solutions require ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chemnitz
Chemnitz (; from 1953 to 1990: Karl-Marx-Stadt , ) is the third-largest city in the German state of Saxony after Leipzig and Dresden. It is the 28th largest city of Germany as well as the fourth largest city in the area of former East Germany after (East) Berlin, Leipzig and Dresden. The city is part of the Central German Metropolitan Region, and lies in the middle of a string of cities sitting in the densely populated northern foreland of the Elster and Ore Mountains, stretching from Plauen in the southwest via Zwickau, Chemnitz and Freiberg to Dresden in the northeast. Located in the Ore Mountain Basin, the city is surrounded by the Ore Mountains to the south and the Central Saxon Hill Country to the north. The city stands on the Chemnitz River (progression: ), which is formed through the confluence of the rivers Zwönitz and Würschnitz in the borough of Altchemnitz. The name of the city as well as the names of the rivers are of Slavic origin. Chemnitz is the third larg ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rostov On Don
Rostov-on-Don ( rus, Ростов-на-Дону, r=Rostov-na-Donu, p=rɐˈstof nə dɐˈnu) is a port city and the administrative centre of Rostov Oblast and the Southern Federal District of Russia. It lies in the southeastern part of the East European Plain on the Don River, from the Sea of Azov, directly north of the North Caucasus. The southwestern suburbs of the city lie above the Don river delta. Rostov-on-Don has a population of over one million people, and is an important cultural centre of Southern Russia. History Early history From ancient times, the area around the mouth of the Don River has held cultural and commercial importance. Ancient indigenous inhabitants included the Scythian and Sarmatian tribes. It was the site of Tanais, an ancient Greek colony, Fort Tana under the Genoese, and Fort Azak in the time of the Ottoman Empire. In 1749, a custom house was established on the Temernik River, a tributary of the Don, by edict of the Empress Elizabeth, the d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From Oberwiesenthal
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of per ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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