About: Finite-rank operator

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In functional analysis, a branch of mathematics, a finite-rank operator is a bounded linear operator between Banach spaces whose range is finite-dimensional.

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rdf:type	company
rdfs:label	Finite-rank operator (en) 有限階作用素 (ja) Operador de posto finito (pt) 有限秩算子 (zh)
rdfs:comment	In functional analysis, a branch of mathematics, a finite-rank operator is a bounded linear operator between Banach spaces whose range is finite-dimensional. (en) 数学の一分野である函数解析学における有限階作用素（ゆうげんかいさようそ、英: finite-rank operator）とは、値域が有限次元であるようなバナッハ空間の間の有界線型作用素のことをいう。 (ja) Em matemática, um operador de posto finito é um operador linear limitado entre espaços de Banach cuja imagem tem dimensão finita. (pt) 泛函分析中，有限秩算子（英語：Finite-rank operator）是巴拿赫空间之间，像的维数有限的有界线性算子。 (zh)
dcterms:subject	Operator theory
Wikipage page ID	8405295 (xsd:integer)
Wikipage revision ID	1047320693 (xsd:integer)
Link from a Wikipage to another Wikipage	Trace-class Operator theory Bounded operator Singular value decomposition Compact operator Compact operator on Hilbert space Functional analysis Banach space Hilbert–Schmidt operator Range of a function Trace class Simple algebra Image (mathematics) Limit point Bounded linear operator
sameAs	Finite-rank operator Finite-rank operator Finite-rank operator Finite-rank operator Finite-rank operator Finite-rank operator
dbp:wikiPageUsesTemplate	dbt:More_citations_needed dbt:Reflist
has abstract	In functional analysis, a branch of mathematics, a finite-rank operator is a bounded linear operator between Banach spaces whose range is finite-dimensional. (en) 数学の一分野である函数解析学における有限階作用素（ゆうげんかいさようそ、英: finite-rank operator）とは、値域が有限次元であるようなバナッハ空間の間の有界線型作用素のことをいう。 (ja) Em matemática, um operador de posto finito é um operador linear limitado entre espaços de Banach cuja imagem tem dimensão finita. (pt) 泛函分析中，有限秩算子（英語：Finite-rank operator）是巴拿赫空间之间，像的维数有限的有界线性算子。 (zh)
gold:hypernym	Operator
prov:wasDerivedFrom	wikipedia-en:Finite-rank_operator?oldid=1047320693&ns=0
page length (characters) of wiki page	3921 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Finite-rank_operator
is Link from a Wikipage to another Wikipage of	Method of continued fractions Bra–ket notation Approximation property Per Enflo Invariant subspace Commutator subspace Calkin correspondence Singular trace Singular value decomposition Compact operator Compact operator on Hilbert space Causal fermion systems Atkinson's theorem Trace class Weak operator topology Peter Orno Finite rank operator
is Wikipage redirect of	Finite rank operator
is foaf:primaryTopic of	wikipedia-en:Finite-rank_operator

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