Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Sequence_space> ?p ?o }
- Sequence_space abstract "In functional analysis and related areas of mathematics, a sequence space is a vector space whose elements are infinite sequences of real or complex numbers. Equivalently, it is a function space whose elements are functions from the natural numbers to the field K of real or complex numbers. The set of all such functions is naturally identified with the set of all possible infinite sequences with elements in K, and can be turned into a vector space under the operations of pointwise addition of functions and pointwise scalar multiplication. All sequence spaces are linear subspaces of this space. Sequence spaces are typically equipped with a norm, or at least the structure of a topological vector space.The most important sequences spaces in analysis are the ℓp spaces, consisting of the p-power summable sequences, with the p-norm. These are special cases of Lp spaces for the counting measure on the set of natural numbers. Other important classes of sequences like convergent sequences or null sequences form sequence spaces, respectively denoted c and c0, with the sup norm. Any sequence space can also be equipped with the topology of pointwise convergence, under which it becomes a special kind of Fréchet space called FK-space.".
- Sequence_space wikiPageID "1701075".
- Sequence_space wikiPageLength "11688".
- Sequence_space wikiPageOutDegree "66".
- Sequence_space wikiPageRevisionID "679926706".
- Sequence_space wikiPageWikiLink Abuse_of_notation.
- Sequence_space wikiPageWikiLink Ba_space.
- Sequence_space wikiPageWikiLink Banach_space.
- Sequence_space wikiPageWikiLink Beta-dual_space.
- Sequence_space wikiPageWikiLink Boris_Tsirelson.
- Sequence_space wikiPageWikiLink Category:Functional_analysis.
- Sequence_space wikiPageWikiLink Category:Sequence_spaces.
- Sequence_space wikiPageWikiLink Category:Sequences_and_series.
- Sequence_space wikiPageWikiLink Compact_operator.
- Sequence_space wikiPageWikiLink Complete_metric_space.
- Sequence_space wikiPageWikiLink Complex_number.
- Sequence_space wikiPageWikiLink Complex_numbers.
- Sequence_space wikiPageWikiLink Convergent_sequence.
- Sequence_space wikiPageWikiLink Counting_measure.
- Sequence_space wikiPageWikiLink Dense_set.
- Sequence_space wikiPageWikiLink Double_dual.
- Sequence_space wikiPageWikiLink Dual_space.
- Sequence_space wikiPageWikiLink Embedding.
- Sequence_space wikiPageWikiLink Euclidean_vector.
- Sequence_space wikiPageWikiLink FK-space.
- Sequence_space wikiPageWikiLink Finite_support.
- Sequence_space wikiPageWikiLink Fréchet_space.
- Sequence_space wikiPageWikiLink Function_space.
- Sequence_space wikiPageWikiLink Functional_analysis.
- Sequence_space wikiPageWikiLink Hilbert_space.
- Sequence_space wikiPageWikiLink Hxc3xb6lders_inequality.
- Sequence_space wikiPageWikiLink Hölder_conjugate.
- Sequence_space wikiPageWikiLink Infinite_sequence.
- Sequence_space wikiPageWikiLink Isomorphic.
- Sequence_space wikiPageWikiLink Isomorphism.
- Sequence_space wikiPageWikiLink Limit_of_a_sequence.
- Sequence_space wikiPageWikiLink Linear_subspace.
- Sequence_space wikiPageWikiLink Lp_space.
- Sequence_space wikiPageWikiLink Mathematics.
- Sequence_space wikiPageWikiLink Metric_space.
- Sequence_space wikiPageWikiLink Natural_number.
- Sequence_space wikiPageWikiLink Natural_numbers.
- Sequence_space wikiPageWikiLink Net_(mathematics).
- Sequence_space wikiPageWikiLink Norm_(mathematics).
- Sequence_space wikiPageWikiLink Pointwise.
- Sequence_space wikiPageWikiLink Pointwise_addition.
- Sequence_space wikiPageWikiLink Pointwise_convergence.
- Sequence_space wikiPageWikiLink Polynomially_reflexive_space.
- Sequence_space wikiPageWikiLink Quotient_space_(linear_algebra).
- Sequence_space wikiPageWikiLink Real_number.
- Sequence_space wikiPageWikiLink Reflexive_space.
- Sequence_space wikiPageWikiLink Scalar_multiplication.
- Sequence_space wikiPageWikiLink Schauder_basis.
- Sequence_space wikiPageWikiLink Schurs_property.
- Sequence_space wikiPageWikiLink Separable_space.
- Sequence_space wikiPageWikiLink Sequence.
- Sequence_space wikiPageWikiLink Series_(mathematics).
- Sequence_space wikiPageWikiLink Strictly_singular.
- Sequence_space wikiPageWikiLink Strictly_singular_operator.
- Sequence_space wikiPageWikiLink Strong_convergence.
- Sequence_space wikiPageWikiLink Strong_topology.
- Sequence_space wikiPageWikiLink Support_(mathematics).
- Sequence_space wikiPageWikiLink Topological_vector_space.
- Sequence_space wikiPageWikiLink Topology.
- Sequence_space wikiPageWikiLink Tsirelson_space.
- Sequence_space wikiPageWikiLink Vector_addition.
- Sequence_space wikiPageWikiLink Vector_space.
- Sequence_space wikiPageWikiLink Weak_convergence.
- Sequence_space wikiPageWikiLink Weak_topology.
- Sequence_space wikiPageWikiLinkText "".
- Sequence_space wikiPageWikiLinkText "Sequence space".
- Sequence_space wikiPageWikiLinkText "Sequence space#c and c0".
- Sequence_space wikiPageWikiLinkText "Sequence space#c_and_c0".
- Sequence_space wikiPageWikiLinkText "Sequence space#ℓp spaces".
- Sequence_space wikiPageWikiLinkText "Sequence_space#.E2.84.93p_spaces".
- Sequence_space wikiPageWikiLinkText "convergent sequences".
- Sequence_space wikiPageWikiLinkText "sequence space".
- Sequence_space wikiPageWikiLinkText "sequence".
- Sequence_space wikiPageWikiLinkText "space of sequences converging to zero".
- Sequence_space wikiPageWikiLinkText "space".
- Sequence_space wikiPageWikiLinkText "spaces of sequences".
- Sequence_space wikiPageWikiLinkText "square-summable".
- Sequence_space wikiPageWikiLinkText "summable sequences".
- Sequence_space wikiPageWikiLinkText "ℓ1".
- Sequence_space wikiPageWikiLinkText "ℓp space".
- Sequence_space hasPhotoCollection Sequence_space.
- Sequence_space wikiPageUsesTemplate Template:Citation.
- Sequence_space wikiPageUsesTemplate Template:For.
- Sequence_space wikiPageUsesTemplate Template:Harv.
- Sequence_space wikiPageUsesTemplate Template:Harvtxt.
- Sequence_space wikiPageUsesTemplate Template:See_also.
- Sequence_space subject Category:Functional_analysis.
- Sequence_space subject Category:Sequence_spaces.
- Sequence_space subject Category:Sequences_and_series.
- Sequence_space hypernym Space.
- Sequence_space type Function.
- Sequence_space type Space.
- Sequence_space type Thing.
- Sequence_space comment "In functional analysis and related areas of mathematics, a sequence space is a vector space whose elements are infinite sequences of real or complex numbers. Equivalently, it is a function space whose elements are functions from the natural numbers to the field K of real or complex numbers.".
- Sequence_space label "Sequence space".