compact operator

(redirected from Compact linear operator)

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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References in periodicals archive ?
1])) is a compact linear operator on H and, thus, it is a continuous automorphism of H because [lambda] = 1 is not an eigenvalue of [F'.
That is, a compact linear operator from the large space [Lip.
If E is an infinite dimensional Banach space, we denote by B(E) and K(E) the Banach algebra of all bounded linear operators and compact linear operators on E, respectively.

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