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A primal-dual operator splitting method for conic optimization
Character segmentation conic optimization yield distributed linear algebra
2015/8/7
We develop a simple operator splitting method for solving a primal conic optimization problem; we show that the iterates also solve the dual problem. The resulting algorithm is very simple to describe...
Beurling-Fourier algebras, operator amenability and Arens regularity
locally compact groups Beurling algebras Beurling-Fourier algebras operator amenability operator weak amenability
2010/11/26
We introduce the class of Beurling-Fourier algebras on locally compact groups and show that they are non-commutative analogs of classical Beurling algebras.
Fractional-Linear Transformations of Operator Balls Applications to Dynamical Systems
Compactness Convexity Linear fractional relation Operator ball Krein space
2007/12/12
The operator sets, which are the subject of this paper, have been studied in many papers where, under different restrictions on the generating operators, convexity, compactness in the weak operator to...
On the Norm of a Self-Adjoint Operator and a New Bilinear Integral Inequality
norm self-adjoint bilinear inequality Beta function
2007/12/11
In this paper, the expression of the norm of a self-adjoint integral operator $T:$ $% L^{2}(0,\infty )\rightarrow L^{2}(0,\infty )$ is obtained. As applications, a new bilinear integral inequality wit...
Wigner Function: from Ensemble Average of Density Operator
to Its One Matrix Element in Entangled Pure States
Wigner function ensemble average
of density operator matrix element in entangled pure states
2007/8/15
2002Vol.38No.5pp.533-536DOI:
Wigner Function: from Ensemble Average of Density Operator
to Its One Matrix Element in Entangled Pure States
FAN Hong-Yi
Department of Phys...
By using the perturbation theories on sums of ranges ofnonlinear accretive mappings of Calvert and Gupta, we study theabstract results on the existence of a solution $u \inL^{s}({\it\Omega})$ of nonli...
Asymptotic Formulas for the Resonance Eigenvalues of the Schrödinger Operator
Asymptotic Formulas Schrö dinger Operator Resonance Eigenvalues
2010/2/26
In this paper, we consider the Schrödinger operators defined by the differential expression Lu= - D u + q(x)u in d-dimensional paralellepiped F, with the Dirichlet and the Neumann boundary condit...
The Trace Formula for a Differential Operator of Fourth Order With Bounded Operator Coefficients and Two Terms
Hilbert Space Self-adjoint operator Kernel operator Spectrum Essential spectrum Resolvent
2010/2/26
We investigate the spectrum of a di erential operator of fourth order with
bounded operator coecients and nd a formula for the trace of this operator.
On the Expansions in Eigenfunctions of Hill's Operator
Hill's operator spectrum eigenvalues eigenfunctions
2010/3/1
In this paper we show how one can deduce the Titchmarsh expansion formula in eigenfunctions of Hill's operator from the Gel'fand expansion formula.