About: Infinite-dimensional vector function

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Function whose values lie in an infinite-dimensional vector space

Property	Value
dbo:description	function whose values lie in an infinite-dimensional vector space (en)
dbo:wikiPageWikiLink	dbr:Isometry dbr:Dense_set dbr:Unitary_operator dbc:Banach_spaces dbr:Function_(mathematics) dbr:Integer dbr:Mathematical_proof dbr:Real_number dbc:Vectors_(mathematics_and_physics) dbr:Inner_product_space dbr:Vector_space dbr:Cardinality dbr:Closed_set dbr:Interval_(mathematics) dbr:Homeomorphism dbr:Measurable_function dbr:Dimension_(vector_space) dbr:If_and_only_if dbr:Orthonormal_basis dbr:Topological_vector_space dbr:Physics dbr:Right_angle dbr:Domain_of_a_function dbr:Pettis_integral dbr:Bochner_space dbr:Limit_(mathematics) dbr:Topological_space dbr:Integral dbr:Field_(mathematics) dbr:Hilbert_space dbr:Linear_map dbr:Sequence dbr:Unit_interval dbc:Topological_vector_spaces dbr:Continuous_function_(topology) dbr:Bijection dbr:Closed_interval dbr:Injective_function dbr:Bochner_integral dbr:Image_(mathematics) dbc:Differential_calculus dbr:Derivative dbr:Lp_space dbr:Hausdorff_space dbr:Banach_space dbr:Indicator_function dbr:Differentiable dbr:Radon–Nikodym_theorem dbr:Linear_functional dbr:Absolutely_continuous dbr:Radon–Nikodym_property dbr:Isomorphic dbr:Arc_(topology) dbr:Weak_measurability dbc:Hilbert_space dbr:Orthogonal_vectors dbr:Span_(linear_algebra) dbr:Bochner_measurability dbr:Increasing_function dbr:Infinite-dimensional dbr:Topological_curve dbr:Topological_embedding dbr:Vector_subspace
dbp:mathStatement	Given any two normalized crinkled arcs in a Hilbert space, each is unitarily equivalent to a reparameterization of the other. (en)
dbp:name	Proposition (en)
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dct:subject	dbc:Banach_spaces dbc:Vectors_(mathematics_and_physics) dbc:Topological_vector_spaces dbc:Hilbert_spaces dbc:Differential_calculus
rdfs:label	Infinite-dimensional vector function (en)
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