About: Transpose of a linear map

Property	Value
dbo:description	application induite entre les espaces duales des deux espaces vectoriels (fr) aplicación inducida entre los espacios duales de dos espacios vectoriales (es) индуцированное отображение между векторными пространствами, двойственными к данным (ru) induced map between the dual spaces of the two vector spaces (en)
dbo:wikiPageWikiLink	dbr:Isometry dbr:Contravariant_functor dbr:Polar_set dbr:Category_theory dbc:Functional_analysis dbc:Linear_algebra dbr:Dot_product dbr:Hahn–Banach_theorem dbr:Topological_vector_space dbr:Dual_system dbr:Kernel_(linear_algebra) dbr:Antihomomorphism dbr:Algebra_over_a_field dbr:Linear_algebra dbr:Adjoint_functors dbr:Field_(mathematics) dbr:Linear_map dbr:Matrix_(mathematics) dbr:Fréchet_space dbr:Pullback dbr:Transpose dbr:Algebraic_dual_space dbr:Continuous_dual_space dbr:Dual_space dbr:Inclusion_map dbr:Quotient_topology dbr:Locally_convex_topological_vector_space dbr:Operator_norm dbr:Nondegenerate_form dbr:Surjection_of_Fréchet_spaces dbr:Normed_space dbr:Strong_dual dbr:Inner_product dbr:Adjoint_of_an_operator dbr:Weak-*_topology dbr:Natural_pairing dbr:Orthogonal_vectors dbr:Composition_of_maps dbr:Injective dbr:Surjective
dbp:wikiPageUsesTemplate	dbt:Linear_algebra dbt:Main dbt:Reflist dbt:Sfn dbt:See_also dbt:Citation dbt:Duality_and_spaces_of_linear_maps dbt:Rudin_Walter_Functional_Analysis dbt:Schaefer_Wolff_Topological_Vector_Spaces dbt:Trèves_François_Topological_vector_spaces,_distributions_and_kernels dbt:Functional_analysis dbt:Em dbt:Section_link dbt:Annotated_link dbt:Short_description
dct:subject	dbc:Functional_analysis dbc:Linear_algebra dbc:Linear_functionals
gold:hypernym	dbr:Map
rdfs:label	Transpose of a linear map (en) 転置写像 (ja) Application transposée (fr) Двойственное отображение (ru)
rdfs:seeAlso	dbr:Riesz_representation_theorem dbr:Dual_system dbr:Transpose
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is foaf:primaryTopic of	wikipedia-en:Transpose_of_a_linear_map