Mga halimbawa ng paggamit ng Operator theory sa Ingles at ang kanilang mga pagsasalin sa Tagalog
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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.
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.
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.
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 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.
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.
Krein brought the full force of mathematical analysis to bear on problems of function theory, operator theory, probability and mathematical physics.
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 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.
He has written a number of influential texts including Compact non-self-adjoint operators(1971) and, with R V Kadison, Fundamentals of the theory of operator algebras in four volumes published in 1983, 1986, 1991 and 1992.
His interest in ergodic theory, group representations andquantum mechanics contributed significantly to von Neumann's realisation that a theory of operator algebras was the next important stage in the development of this area of mathematics.
An examples of a paper by Bishop on this topic is Spectral theory for operators on a Banach space(1957).
Led him to lay the foundations of the theory of operators in a space with an indefinite metric, and to introduce new ideas in the spectral theory of operators. .