Compact operator

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Compact operator. 1 connected concept: Hilbert space (related to).

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Community · Hilbert space

Summary

In functional analysis, a branch of mathematics, a compact operator is a linear operator that behaves, in several important respects, like a finite-dimensional operator such as a matrix.

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Connections1

Class of operators with discrete spectral properties
Compact operators on Hilbert spaces are the natural generalization of finite-dimensional matrices, playing a central role in the spectral theory of Hilbert spaces.
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