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In mathematics, the composition operator with symbol is a linear operator defined by the rule where denotes function composition. The study of composition operators is covered by AMS category 47B33.

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rdfs:label	Composition operator (en) 合成作用素 (ja)
rdfs:comment	In mathematics, the composition operator with symbol is a linear operator defined by the rule where denotes function composition. The study of composition operators is covered by AMS category 47B33. (en) 数学において、記号 φ との合成作用素（ごうせいさようそ、英: composition operator）Cφ とは、という決まりによって定義される線型作用素のことを言う。ここで f ∘ φ は合成写像を意味する。圏論の用語を用いると、合成作用素とは、可測函数の空間上の引き戻しである。したがって引き戻しがの随伴となるのと同様に、合成作用素は転送作用素の随伴となる。すなわち合成作用素はである。合成作用素の研究は AMS category 47B33 によりカバーされている。 (ja)
dct:subject	Topological vector spaces Operator theory Dynamical systems Functional analysis
Wikipage page ID	2702039 (xsd:integer)
Wikipage revision ID	1119699142 (xsd:integer)
Link from a Wikipage to another Wikipage	Schröder's equation Trace-class Bergman space Borel function Topological vector spaces Holomorphic function Beurling–Lax theorem Inverse image functor Jacobi operator Joel Shapiro (mathematician) Operator theory Mathematics Eigenfunction Eigenvalue Function composition Boundary (topology) Pushforward measure Bernard Koopman Linear operator Compact operator Function space Functional calculus Hardy space Physics Spectrum (functional analysis) Measurable function Transfer operator Banach space Domain of a function Barbara MacCluer Dynamical systems Dynamical systems Functional analysis Aleksandrov–Clark measure Hessenberg matrix Holomorphic functional calculus Borel functional calculus Koenigs function Orthogonal polynomials Category theory Shift operator Left-adjoint Pull-back Spin lattice Wold decomposition
Link from a Wikipage to an external page	https://www.ams.org/msc/47Bxx.html
sameAs	Function composition Function composition Function composition Function composition Function composition
dbp:wikiPageUsesTemplate	dbt:Annotated_link dbt:For dbt:ISBN dbt:Reflist dbt:Short_description dbt:Functional_analysis dbt:Topological_vector_spaces
has abstract	In mathematics, the composition operator with symbol is a linear operator defined by the rule where denotes function composition. The study of composition operators is covered by AMS category 47B33. (en) 数学において、記号 φ との合成作用素（ごうせいさようそ、英: composition operator）Cφ とは、という決まりによって定義される線型作用素のことを言う。ここで f ∘ φ は合成写像を意味する。圏論の用語を用いると、合成作用素とは、可測函数の空間上の引き戻しである。したがって引き戻しがの随伴となるのと同様に、合成作用素は転送作用素の随伴となる。すなわち合成作用素はである。合成作用素の研究は AMS category 47B33 によりカバーされている。 (ja)
prov:wasDerivedFrom	wikipedia-en:Composition_operator?oldid=1119699142&ns=0
page length (characters) of wiki page	5651 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Composition_operator
is Link from a Wikipage to another Wikipage of	Schröder's equation Joel Shapiro (mathematician) List of mathematic operators Pullback Gradient Pushforward measure Bernard Koopman Subscript and superscript Composition ring Transfer operator Dynamic mode decomposition Barbara MacCluer Carleman matrix Tatyana Shaposhnikova APL syntax and symbols Littlewood subordination theorem Koopman operator Multiplication operator
is Wikipage redirect of	Koopman operator
is known for of	Joel Shapiro (mathematician) Bernard Koopman

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