About: Sequence space

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A vector space whose elements are infinite sequences of real or complex numbers

Property	Value
dbo:description	spazio vettoriale i cui elementi sono le successioni reali o complesse (it) in der Mathematik betrachteter Vektorraum (de) a vector space whose elements are infinite sequences of real or complex numbers (en)
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dbp:mathStatement	Let be a Fréchet space over Then the following are equivalent: admits no continuous norm . contains a vector subspace TVS-isomorphic to . contains a complemented vector subspace TVS-isomorphic to . (en)
dbp:name	Theorem (en)
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dct:subject	dbc:Functional_analysis dbc:Sequence_spaces dbc:Sequences_and_series
gold:hypernym	dbr:Space
rdfs:label	Sequence space (en) Folgenraum (de) Espace de suites ℓp (fr) Spazio delle successioni (it) 数列空間 (ja) Espaço lp (pt)
rdfs:seeAlso	dbr:C_space dbr:Lp_space dbr:Sup>_space
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