compact operator

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compact operator

[¦käm‚pakt ′äp·ə‚rād·ər]
(mathematics)
A linear transformation from one normed vector space to another, with the property that the image of every bounded set has a compact closure.
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This problem is so-called the optimal approximation problem with respect to matrix equation (2) (see e.
Special topics include simple C*-algebras, approximation properties for groups, the weak expectation property and local lifting property, weakly exact von Neumann algebras, and such applications as Herrero's approximation problem and classification of von Neumann algebras.
The optimal approximation Problem II occurs frequently in experimental design, see for instance [13, 14].
Problem II is the optimal approximation problem, which occurs frequently in experimental design [18].
k)](A) that solves the ideal GMRES approximation problem (1.
Bernstein's approximation problem, posed in 1924, dealt with approximation by polynomials in the norm
In this paper, we investigate the least residual problem [parallel]AX - B[parallel] = min with given X,B, and associated optimal approximation problem in the generalized Hermitian matrix set.
WIELONSKY, On a rational approximation problem in the real Hardy space [H.
In the next section we set up the notations, and in section 3 we state the rational approximation problem under study.
k]) is a vectorial weight, we study this approximation problem with the Sobolev norm [W.
So, the nonconforming approximation problem is given by: Find [[lambda].