Spectral theory of compact operators
id:
spectral-theory-of-compact-operators-312-6818493
title:
Spectral theory of compact operators
text:
In functional analysis, compact operators are linear operators on Banach spaces that map bounded sets to relatively compact sets. In the case of a Hilbert space H, the compact operators are the closure of the finite rank operators in the uniform operator topology. In general, operators on infinite-dimensional spaces feature properties that do not appear in the finite-dimensional case, i.e. for matrices. The compact operators are notable in that they share as much similarity with matrices as one
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encyclopedia
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https://en.wikipedia.org/wiki/Spectral_theory_of_compact_operators
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date modified:
2024-03-10T21:29:25Z
main entity:
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13
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