This HTML5 document contains 66 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dbpedia-dehttp://de.dbpedia.org/resource/
dctermshttp://purl.org/dc/terms/
yago-reshttp://yago-knowledge.org/resource/
dbohttp://dbpedia.org/ontology/
foafhttp://xmlns.com/foaf/0.1/
n10https://global.dbpedia.org/id/
yagohttp://dbpedia.org/class/yago/
dbthttp://dbpedia.org/resource/Template:
rdfshttp://www.w3.org/2000/01/rdf-schema#
freebasehttp://rdf.freebase.com/ns/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
owlhttp://www.w3.org/2002/07/owl#
wikipedia-enhttp://en.wikipedia.org/wiki/
dbphttp://dbpedia.org/property/
dbchttp://dbpedia.org/resource/Category:
provhttp://www.w3.org/ns/prov#
xsdhhttp://www.w3.org/2001/XMLSchema#
wikidatahttp://www.wikidata.org/entity/
dbrhttp://dbpedia.org/resource/

Statements

Subject Item
dbr:Indefinite_inner_product_space
rdf:type
yago:Space100028651 yago:Abstraction100002137 yago:WikicatPropertiesOfTopologicalSpaces yago:Attribute100024264 yago:Relation100031921 yago:WikicatTopologicalVectorSpaces yago:Possession100032613 yago:Property113244109
rdfs:label
Indefinite inner product space Kreinraum
rdfs:comment
In der Funktionalanalysis ist ein Kreinraum (nach Mark Krein) ein Hilbertraum mit einer abgeschwächten Struktur: einem i. A. indefiniten inneren Produkt anstelle des üblichen Skalarprodukts. Eine genaue Definition findet sich weiter unten. In vielen Anwendungen ist die Theorie der Kreinräume ein sehr nützliches Werkzeug, beispielsweise bei oder bei bestimmten Differentialoperatoren. In mathematics, in the field of functional analysis, an indefinite inner product space is an infinite-dimensional complex vector space equipped with both an indefinite inner product and a positive semi-definite inner product where the metric operator is an endomorphism of obeying An indefinite inner product space is called a Krein space (or -space) if is positive definite and possesses a . Krein spaces are named in honor of the Soviet mathematician Mark Grigorievich Krein (3 April 1907 – 17 October 1989).
dcterms:subject
dbc:Operator_theory dbc:Topological_vector_spaces
dbo:wikiPageID
5571012
dbo:wikiPageRevisionID
1088152589
dbo:wikiPageWikiLink
dbr:Endomorphism dbc:Operator_theory dbr:Hilbert_space dbr:Mark_Grigorievich_Krein dbr:Functional_analysis dbr:Definite_bilinear_form dbr:Majorant_topology dbr:Mathematics dbr:Direct_sum_of_vector_spaces dbr:Hermitian_form dbr:Inner_product dbr:Projection_(linear_algebra) dbr:Spectrum_(functional_analysis) dbr:Lorentz_invariance dbc:Topological_vector_spaces dbr:Lev_Semenovich_Pontryagin dbr:Normed_vector_space dbr:USSR dbr:Vector_space dbr:Quotient_space_(topology) dbr:Continuity_(topology) dbr:Linear_subspace dbr:Closed_set dbr:Operator_(mathematics) dbr:Topology
owl:sameAs
dbpedia-de:Kreinraum n10:ijef freebase:m.0dt23_ wikidata:Q1787158 yago-res:Indefinite_inner_product_space
dbp:wikiPageUsesTemplate
dbt:Issn dbt:ISBN dbt:Eom
dbp:first
B.S. N.K. H.
dbp:id
h/h047390 p/p073800 k/k055840
dbp:last
Langer Pavlov Nikol'skii
dbp:title
Krein space Hilbert space with an indefinite metric Pontryagin space
dbo:abstract
In der Funktionalanalysis ist ein Kreinraum (nach Mark Krein) ein Hilbertraum mit einer abgeschwächten Struktur: einem i. A. indefiniten inneren Produkt anstelle des üblichen Skalarprodukts. Eine genaue Definition findet sich weiter unten. In vielen Anwendungen ist die Theorie der Kreinräume ein sehr nützliches Werkzeug, beispielsweise bei oder bei bestimmten Differentialoperatoren. In mathematics, in the field of functional analysis, an indefinite inner product space is an infinite-dimensional complex vector space equipped with both an indefinite inner product and a positive semi-definite inner product where the metric operator is an endomorphism of obeying The indefinite inner product space itself is not necessarily a Hilbert space; but the existence of a positive semi-definite inner product on implies that one can form a quotient space on which there is a positive definite inner product. Given a strong enough topology on this quotient space, it has the structure of a Hilbert space, and many objects of interest in typical applications fall into this quotient space. An indefinite inner product space is called a Krein space (or -space) if is positive definite and possesses a . Krein spaces are named in honor of the Soviet mathematician Mark Grigorievich Krein (3 April 1907 – 17 October 1989).
prov:wasDerivedFrom
wikipedia-en:Indefinite_inner_product_space?oldid=1088152589&ns=0
dbo:wikiPageLength
11158
foaf:isPrimaryTopicOf
wikipedia-en:Indefinite_inner_product_space