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Statements

Subject Item
dbr:Auerbach's_lemma
rdfs:label
Auerbach's lemma
rdfs:comment
In mathematics, Auerbach's lemma, named after Herman Auerbach, is a theorem in functional analysis which asserts that a certain property of Euclidean spaces holds for general finite-dimensional normed vector spaces.
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dbt:ISBN dbt:Functional_analysis
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dbc:Lemmas_in_analysis dbc:Banach_spaces
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dbr:Theorem
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n12:Auerbach's_lemma?oldid=1047307658&ns=0
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1047307658
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dbr:Basis_(linear_algebra) dbr:Projection_(linear_algebra) dbr:Joram_Lindenstrauss dbr:Inner_product_space dbr:Dimension_(vector_space) dbr:Herman_Auerbach dbc:Banach_spaces dbr:Normed_vector_space dbr:Hilbert_space dbr:Hahn–Banach_theorem dbr:Dual_basis dbr:Euclidean_space dbr:Functional_analysis dbr:Triangle_inequality dbr:Linear_subspace dbc:Lemmas_in_analysis dbr:Orthonormal_basis dbr:Approximation_theory
dbo:abstract
In mathematics, Auerbach's lemma, named after Herman Auerbach, is a theorem in functional analysis which asserts that a certain property of Euclidean spaces holds for general finite-dimensional normed vector spaces.
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n12:Auerbach's_lemma