Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Dual_space> ?p ?o }
- Dual_space abstract "In mathematics, any vector space V has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V together with a naturally induced linear structure. Dual vector spaces for finite-dimensional vector spaces show up in tensor analysis. When applied to vector spaces of functions (which are typically infinite-dimensional), dual spaces are used to describe measures, distributions, and Hilbert spaces. Consequently, the dual space is an important concept in functional analysis.There are two types of dual spaces: the algebraic dual space, and the continuous dual space. The algebraic dual space is defined for all vector spaces. When defined for a topological vector space there is a subspace of this dual space, corresponding to continuous linear functionals, which constitutes a continuous dual space.".
- Dual_space wikiPageID "7988".
- Dual_space wikiPageLength "33988".
- Dual_space wikiPageOutDegree "118".
- Dual_space wikiPageRevisionID "680392929".
- Dual_space wikiPageWikiLink Adjoint_of_an_operator.
- Dual_space wikiPageWikiLink Algebra_over_a_field.
- Dual_space wikiPageWikiLink Annihilator_(ring_theory).
- Dual_space wikiPageWikiLink Antihomomorphism.
- Dual_space wikiPageWikiLink Antiisomorphic.
- Dual_space wikiPageWikiLink Antiisomorphism.
- Dual_space wikiPageWikiLink Arzelà–Ascoli_theorem.
- Dual_space wikiPageWikiLink Banach_space.
- Dual_space wikiPageWikiLink Basis_(linear_algebra).
- Dual_space wikiPageWikiLink Basis_of_a_vector_space.
- Dual_space wikiPageWikiLink Bijection.
- Dual_space wikiPageWikiLink Bilinear_form.
- Dual_space wikiPageWikiLink Bilinear_map.
- Dual_space wikiPageWikiLink Bilinear_mapping.
- Dual_space wikiPageWikiLink Bounded_set_(topological_vector_space).
- Dual_space wikiPageWikiLink Bra–ket_notation.
- Dual_space wikiPageWikiLink Cardinal_number.
- Dual_space wikiPageWikiLink Category:Duality_theories.
- Dual_space wikiPageWikiLink Category:Functional_analysis.
- Dual_space wikiPageWikiLink Category:Linear_algebra.
- Dual_space wikiPageWikiLink Category_theory.
- Dual_space wikiPageWikiLink Compact_operator.
- Dual_space wikiPageWikiLink Complex_conjugate_vector_space.
- Dual_space wikiPageWikiLink Complex_number.
- Dual_space wikiPageWikiLink Complex_numbers.
- Dual_space wikiPageWikiLink Composition_of_maps.
- Dual_space wikiPageWikiLink Continuous_function.
- Dual_space wikiPageWikiLink Continuous_function_(topology).
- Dual_space wikiPageWikiLink Contravariant_functor.
- Dual_space wikiPageWikiLink Covariance_and_contravariance_of_vectors.
- Dual_space wikiPageWikiLink Degenerate_bilinear_form.
- Dual_space wikiPageWikiLink Dimension_(vector_space).
- Dual_space wikiPageWikiLink Direct_product.
- Dual_space wikiPageWikiLink Direct_sum_of_modules.
- Dual_space wikiPageWikiLink Discontinuous_linear_map.
- Dual_space wikiPageWikiLink Distribution_(mathematics).
- Dual_space wikiPageWikiLink Dual_basis.
- Dual_space wikiPageWikiLink Dual_norm.
- Dual_space wikiPageWikiLink Duality_(mathematics).
- Dual_space wikiPageWikiLink Duality_(projective_geometry).
- Dual_space wikiPageWikiLink Euclidean_space.
- Dual_space wikiPageWikiLink Euclidean_vector.
- Dual_space wikiPageWikiLink Field_(mathematics).
- Dual_space wikiPageWikiLink Finite-dimensional.
- Dual_space wikiPageWikiLink First_isomorphism_theorem.
- Dual_space wikiPageWikiLink Function_composition.
- Dual_space wikiPageWikiLink Functional_analysis.
- Dual_space wikiPageWikiLink Functor.
- Dual_space wikiPageWikiLink Galois_connection.
- Dual_space wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Dual_space wikiPageWikiLink Hahn–Banach_theorem.
- Dual_space wikiPageWikiLink Hausdorff_space.
- Dual_space wikiPageWikiLink Hermitian_adjoint.
- Dual_space wikiPageWikiLink Hilbert_space.
- Dual_space wikiPageWikiLink Hxc3xb6lders_inequality.
- Dual_space wikiPageWikiLink Injective.
- Dual_space wikiPageWikiLink Injective_function.
- Dual_space wikiPageWikiLink Isometry.
- Dual_space wikiPageWikiLink Isomorphic.
- Dual_space wikiPageWikiLink Isomorphism.
- Dual_space wikiPageWikiLink Isomorphism_theorem.
- Dual_space wikiPageWikiLink Kernel_(algebra).
- Dual_space wikiPageWikiLink Kronecker_delta.
- Dual_space wikiPageWikiLink Limit_of_a_sequence.
- Dual_space wikiPageWikiLink Linear_form.
- Dual_space wikiPageWikiLink Linear_functional.
- Dual_space wikiPageWikiLink Linear_independence.
- Dual_space wikiPageWikiLink Linear_map.
- Dual_space wikiPageWikiLink Linear_subspace.
- Dual_space wikiPageWikiLink Linearly_independent.
- Dual_space wikiPageWikiLink Locally_convex_topological_vector_space.
- Dual_space wikiPageWikiLink Lp_space.
- Dual_space wikiPageWikiLink Mathematics.
- Dual_space wikiPageWikiLink Matrix_(mathematics).
- Dual_space wikiPageWikiLink Matrix_multiplication.
- Dual_space wikiPageWikiLink Measure_(mathematics).
- Dual_space wikiPageWikiLink Natural_isomorphism.
- Dual_space wikiPageWikiLink Natural_transformation.
- Dual_space wikiPageWikiLink Nondegenerate_form.
- Dual_space wikiPageWikiLink Norm_(mathematics).
- Dual_space wikiPageWikiLink Normed_vector_space.
- Dual_space wikiPageWikiLink One-form.
- Dual_space wikiPageWikiLink Pontryagin_duality.
- Dual_space wikiPageWikiLink Pullback_(differential_geometry).
- Dual_space wikiPageWikiLink Quantum_mechanics.
- Dual_space wikiPageWikiLink Quotient_space_(linear_algebra).
- Dual_space wikiPageWikiLink Real_number.
- Dual_space wikiPageWikiLink Reciprocal_lattice.
- Dual_space wikiPageWikiLink Reflexive_space.
- Dual_space wikiPageWikiLink Riesz_representation_theorem.
- Dual_space wikiPageWikiLink Separable_space.
- Dual_space wikiPageWikiLink Sequence.
- Dual_space wikiPageWikiLink Sesquilinear_form.
- Dual_space wikiPageWikiLink Space_of_linear_maps.
- Dual_space wikiPageWikiLink Stereotype_space.