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- Spectral_theory_of_compact_operators abstract "In functional analysis, compact operators are linear operators that map bounded sets to relatively compact sets. The set of compact operators acting on a Hilbert space H is the closure of the set of 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 family of 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 wikiPageRevisionID "598772764".
- Spectral_theory_of_compact_operators hasPhotoCollection Spectral_theory_of_compact_operators.
- Spectral_theory_of_compact_operators subject Category:Functional_analysis.
- Spectral_theory_of_compact_operators subject Category:Spectral_theory.
- Spectral_theory_of_compact_operators comment "In functional analysis, compact operators are linear operators that map bounded sets to relatively compact sets. The set of compact operators acting on a Hilbert space H is the closure of the set of 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 m.0cbv79.
- Spectral_theory_of_compact_operators sameAs Q7575213.
- Spectral_theory_of_compact_operators sameAs Q7575213.
- Spectral_theory_of_compact_operators wasDerivedFrom Spectral_theory_of_compact_operators?oldid=598772764.
- Spectral_theory_of_compact_operators isPrimaryTopicOf Spectral_theory_of_compact_operators.