Examples of using Operator theory in English and their translations into Danish
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Banach spaces and operator theory.
Operator theory, transform theory, thermodynamics, functional analysis and differential equations.
Riesz's work of 1910 marks the start of operator theory.
Cooper's work in operator theory was in the area of linear operators on real or complex Hilbert spaces.
Again he began building a research school in operator theory.
His research is on a wide range of different butrelated topics: operator theory, transform theory, thermodynamics, functional analysis and differential equations.
J B Conway writes in about Halmos's contributions to operator theory.
These papers seem to have led Rota away from operator theory and into the area of combinatorics.
Shields worked on a wide range of mathematical topics including measure theory, complex functions,functional analysis and operator theory.
Hille was one of the few mathematicians who brought to his study of functional analysis- operator theory some twenty years experience in classical analysis.
As we have indicated above, Rota worked on functional analysis for his doctorate and, up to about 1960,he wrote a series of papers on operator theory.
It was 1942 before he was able to defend his doctoral thesis on Hermitian operator theory and the generalised moment problem.
The tone of the book is set in the first two chapters, which are concerned with transformations in finite-dimensional spaces andcan be read with no prior knowledge of operator theory.
Is devoted to the publication of current research in integral equations, operator theory and related topics with emphasis on the linear aspects of the theory. .
His work is the culmination of the noble line of research begun by Chebyshev, Stieltjes, Sergei Bernstein and Markov and continued by F Riesz, Banach and Szego.Krein brought the full force of mathematical analysis to bear on problems of function theory, operator theory, probability and mathematical physics.
Two papers in 1959-60,although still in the area of operator theory, looked at ergodic theory which is an area which requires considerable combinatorial skills.
Krein brought the full force of mathematical analysis to bear on problems of function theory, operator theory, probability and mathematical physics.
Halmos is known for both his outstanding contributions to operator theory, ergodic theory, functional analysis, in particular Hilbert spaces, and for his series of exceptionally well written textbooks.
Shields worked on a wide range of mathematical topics including measure theory, complex functions,functional analysis and operator theory. F W Gehring described his work in these words.
In addition to Gohberg's outstanding work in analysis and in particular in operator theory and matrix methods, he founded the major international journal Integral equations and operator theory in the late 1980s.
His presidential address to the Society was on Noncommutative generalisations in mathematics which reported on progress in using ideas from commutative operator theory and applying them to the noncommutative case.
His presidential address to the Society was on Noncommutative generalisations in mathematics which reported on progress in using ideas from commutative operator theory and applying them to the noncommutative case. Particularly, he reported on applications to noncommutative algebraic topology, noncommutative integration and noncommutative dynamical systems.
His Master's Degree was achieved with a thesis in quasianalytic functions,then he became interested in operator theory which came out of earlier work he had done on the moment problem.
The book[is] written by two eminent mathematicians each of whom has made major contributions to the theory of operator algebras.
R S Duran, a reviewer of the text, writes that: The book[is]written by two eminent mathematicians each of whom has made major contributions to the theory of operator algebras.
Most of them concern K-theory,index theory of operators and Lefschetz fixed point theory for elliptic complexes.
An examples of a paper by Bishop on this topic is Spectral theory for operators on a Banach space 1957.