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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Among his topics are representations of solutions to operator equations, bounds for condition numbers of diagonalizable matrices, functions of a compact operator in a Hilbert space, regular functions of a bounded non-self-adjoint operator, and commutators and perturbations of operator functions.
D]), then S is a (rank one) compact operator on [D.
Just as important, AIS s Compact Operator Panels are designed for 24/7 continuous operation up to 60A C ambient temperature, battery-free operation possible with time-of-day synchronization over networks and maintenance-free operation due to a fan-less design and no moving parts.
It is also easy to see that for every compact operator T on the standard RKHS H its Berezin symbol [?
In both cases G is a compact operator from a subspace [y] [subset] [L.
Here we prove a lemma which is similar to Riesz lemma in normed space and (e) using this we list the properties of compact operator.
Therefore we have to transfer S into another continuous and compact operator T.
These compact operator panels are available in touch screen ($189) and non-touch screen ($139) models.
Although twin-engined -- a 420 HP auxiliary engine at the rear, and a 300 HP traction engine at the front -- the F2000 is nevertheless a compact operator, with far better maneuverability than traditional trailer sweepers, claims Fresia.
f) If T is a compact operator on a reflexive Banach space X with a Schauder basis, then T [member of] [[GAMMA].
Laird, a global technology company, announced the release of the new CattronControl LRC-S1, a compact operator control unit (OCU) for cranes, lifting equipment and other industrial machines.

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