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- Spectral_theory_of_compact_operators abstract "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 can expect from a general operator. In particular, the spectral properties of compact operators resemble those of square matrices.This article first summarizes the corresponding results from the matrix case before discussing the spectral properties of compact operators. The reader will see that most statements transfer verbatim from the matrix case.The spectral theory of compact operators was first developed by F. Riesz.".
- Spectral_theory_of_compact_operators wikiPageID "4597914".
- Spectral_theory_of_compact_operators wikiPageLength "11311".
- Spectral_theory_of_compact_operators wikiPageOutDegree "11".
- Spectral_theory_of_compact_operators wikiPageRevisionID "663125677".
- Spectral_theory_of_compact_operators wikiPageWikiLink Category:Functional_analysis.
- Spectral_theory_of_compact_operators wikiPageWikiLink Category:Spectral_theory.
- Spectral_theory_of_compact_operators wikiPageWikiLink Compact_operator.
- Spectral_theory_of_compact_operators wikiPageWikiLink Frigyes_Riesz.
- Spectral_theory_of_compact_operators wikiPageWikiLink Functional_analysis.
- Spectral_theory_of_compact_operators wikiPageWikiLink Holomorphic_functional_calculus.
- Spectral_theory_of_compact_operators wikiPageWikiLink Jordan_normal_form.
- Spectral_theory_of_compact_operators wikiPageWikiLink Projection_(linear_algebra).
- Spectral_theory_of_compact_operators wikiPageWikiLink Relatively_compact_subspace.
- Spectral_theory_of_compact_operators wikiPageWikiLink Rieszs_lemma.
- Spectral_theory_of_compact_operators wikiPageWikiLink Spectrum_(functional_analysis).
- Spectral_theory_of_compact_operators wikiPageWikiLinkText "Spectral theory of compact operators".
- Spectral_theory_of_compact_operators wikiPageWikiLinkText "spectral properties of compact operators".
- Spectral_theory_of_compact_operators wikiPageWikiLinkText "spectral theorem".
- Spectral_theory_of_compact_operators wikiPageWikiLinkText "spectral theory of compact operators".
- Spectral_theory_of_compact_operators wikiPageUsesTemplate Template:Further2.
- Spectral_theory_of_compact_operators subject Category:Functional_analysis.
- Spectral_theory_of_compact_operators subject Category:Spectral_theory.
- Spectral_theory_of_compact_operators hypernym Operators.
- Spectral_theory_of_compact_operators type Company.
- Spectral_theory_of_compact_operators type Algebra.
- Spectral_theory_of_compact_operators type Function.
- Spectral_theory_of_compact_operators comment "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.".
- Spectral_theory_of_compact_operators label "Spectral theory of compact operators".
- Spectral_theory_of_compact_operators sameAs Q7575213.
- Spectral_theory_of_compact_operators sameAs コンパクト作用素のスペクトル理論.
- Spectral_theory_of_compact_operators sameAs m.0cbv79.
- Spectral_theory_of_compact_operators sameAs Q7575213.
- Spectral_theory_of_compact_operators wasDerivedFrom Spectral_theory_of_compact_operators?oldid=663125677.
- Spectral_theory_of_compact_operators isPrimaryTopicOf Spectral_theory_of_compact_operators.