Examples of using Linear operators in English and their translations into Bulgarian
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Algebra of linear operators.
Approximation of functions by positive linear operators.
Considering that partial derivatives are linear operators, one can form a four-gradient from the partial time derivative∂/∂t and the spatial gradient∇.
In 1966 Kato published his classic text Perturbation theory for linear operators which was[3]:-.
If A and B are linear operators on vector spaces U and V, then a linear operator A⊗ B may be defined on the tensor product of U and V, denoted U⊗ V according to[18].
The algebra of linear operators.
Is a slightly expanded reproduction of the first two chapters(plus Introduction)of my book Perturbation theory for linear operators.
Cooper's work in operator theory was in the area of linear operators on real or complex Hilbert spaces.
Soon after he came to Berkeley,Frank's mathematical interests took a change in direction as he began to study the perturbation of linear operators.
Within operator theory, Cooper worked in the area of linear operators on real or complex Hilbert spaces.
During this time he worked on topics such as Banach spaces, the moment problem, integral equations and matrices, andon spectral theory for linear operators.
In 1982 Kato published A short introduction to perturbation theory for linear operators which, in his own words from the Introduction.
Self-adjoint algebras of bounded linear operators on a Hilbert space, closed in the weak operator topology, were introduced in 1929 by von Neumann in a paper in Mathematische Annalen.
They showed that these rings could always be represented as a ring of linear operators on a Hilbert space.
He has written on operators of Volterra-type,compact linear operators, the Neumann series of integral operators, algebras of operators, automorphisms and derivations of operator algebras, and the cohomology of operator algebras.
For example, in algebra the factor means an involutive subalgebra of the algebra of linear operators in a Hilbert space.
Gelfand presented his thesis Abstract functions and linear operators in 1935 which contains important results, but is perhaps even more important for the methods that he used, studying functions on normed spaces by applying linear functionals to them and using classical analysis to study the resulting functions.
Given this leading role, it is fascinating to read his account in[4] of how the subject developed, andin particular the role of linear operators in this development.
In 1964 he wrote a joint paper with Ringrose Derivations of operator algebras and discrete group algebras and his next papers continued to examine the continuity of homomorphisms,derivations and linear operators.
Such perturbation results are important, for example,in quantum mechanics where physical phenomena are interpreted through linear operators on Hilbert space.
He studied a wide variety of applications of mathematics such as dynamical systems in the theory of homogeneous cosmological models, the theory of solitons,the spectral theory of linear operators, quantum field theory and string theory.
Eigen-values and eigenvectors of a linear operator.
Furthermore, the Laplace transform is a linear operator.
This projection is also a linear operator.
Given two vector spaces V and W over a field F,a linear transformation(also called linear map, linear mapping or linear operator) is a map that is compatible with….
Given two vector spaces V and W over a field F,a linear map(also called, in some contexts, linear transformation, linear mapping or linear operator) is a map.
Given two vector spaces V and W over a field F,a linear transformation(also called linear map, linear mapping or linear operator) is a map.
Consider the linear operator defined by, for any complex array.
Recall, that the list of"linear" operator equipment currently used receivers three models brands SkyWorth HSD11, DSD 4404 и Avik 3220.
On adjoint linear differential operators….