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Showing 1 to 6 of 6 for “"identity operator"”.
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Von Neumann algebras, affiliated operators and representations of the Heisenberg relation
<p>Von Neumann algebras are self-adjoint, strong-operator closed subalgebras (containing the identity operator) of the algebra of all bounded operators on a Hilbert space. Factors are von Neumann algebras whose centers consist of scalar multiples of the identity operator. In this thesis, we study …
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Understanding and Improving Moment Method Scattering Solutions
… cause of this observation is proposed to be the identity operator in the magnetic formulation. A regularization of the identity operator is then derived that increases the convergence rate of the discretized 2D magnetic field integral equation by three orders.</p>
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Particle Spreading in a Simple Majda Flow and Eigenvalue Estimation Through a Cayley Transform
The spectrum of the integral operator whose kernel is the covariance function of a random variable plays an important role in finding the distribution of the random variable. We consider methods for producing estimates of the eigenvalues of such operators. If such an operator can be written in the …
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Relations between two classes of singular integrals
… such kernels, the difference of the convolution operators-- defined in the sense of Jones and in the sense of CalderonZygmund, respectively--is a constant multiple of the identity operator.
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Ideals and Commutators of Operators
<p>Subideals. A subideal of operators is an ideal of J (called a J-ideal) for J an arbitraryideal of B(H). Necessary and sufficient conditions are determined for a finitely generatedsubideal to be also an ideal of B(H) and then these conditions are exploited to characterizeall finitely generated …
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Accuracy improvement of the second-kind Fredholm integral equations in computational electromagnetics
… is mainly due to the discretization error of the identity operators involved in second-kind IEs. In the past decade, although much effort has been made to improve the numerical accuracy of the second-kind integral equations, no conclusive understandings and final resolutions are achieved. In this …