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Statements

Subject Item
dbr:Semi-Hilbert_space
rdf:type
yago:WikicatTopologicalVectorSpaces yago:Attribute100024264 yago:Abstraction100002137 yago:Space100028651
rdfs:label
Semi-Hilbertrum Duon-hilberta spaco Semi-Hilbert space
rdfs:comment
In mathematics, a semi-Hilbert space is a generalization of a Hilbert space in functional analysis, in which, roughly speaking, the inner product is required only to be positive semi-definite rather than positive definite, so that it gives rise to a seminorm rather than a vector space norm. The quotient of this space by the kernel of this seminorm is also required to be a Hilbert space in the usual sense. Semi-Hilbertrum är inom matematiken en generalisering av Hilbertrum i funktionalanalys, där – grovt räknat – den inre produkten endast behöver vara snarare än , så att det ger upphov till en seminorm snarare än ett vektorrumsnorm. Kvoten av detta rum av kärnan i denna seminorm krävs också för att vara ett Hilbertrum i vanlig mening. En matematiko, duon-hilberta spaco estas ĝeneraligo de hilberta spaco en . En duon-hilberta spaco la estas postulita nur al esti pozitive duon-difinita sed ne pozitive difinita, tiel ke ĝi donas la duonnormon sed ne normon. La de ĉi tiu spaco per la kerno de ĉi tiu duonnorma estas ankaŭ postulita al esti hilberta spaco en la kutima senco.
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dbr:Seminorm dbr:Mathematics dbc:Topological_vector_spaces dbr:Positive_semidefinite_quadratic_form dbr:Hilbert_space dbr:Norm_(mathematics) dbr:Inner_product dbr:Functional_analysis dbr:Definite_bilinear_form
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dbpedia-eo:Duon-hilberta_spaco wikidata:Q7449274 n16:4uJ7x dbpedia-sv:Semi-Hilbertrum freebase:m.05lz92 yago-res:Semi-Hilbert_space
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En matematiko, duon-hilberta spaco estas ĝeneraligo de hilberta spaco en . En duon-hilberta spaco la estas postulita nur al esti pozitive duon-difinita sed ne pozitive difinita, tiel ke ĝi donas la duonnormon sed ne normon. La de ĉi tiu spaco per la kerno de ĉi tiu duonnorma estas ankaŭ postulita al esti hilberta spaco en la kutima senco. Semi-Hilbertrum är inom matematiken en generalisering av Hilbertrum i funktionalanalys, där – grovt räknat – den inre produkten endast behöver vara snarare än , så att det ger upphov till en seminorm snarare än ett vektorrumsnorm. Kvoten av detta rum av kärnan i denna seminorm krävs också för att vara ett Hilbertrum i vanlig mening. In mathematics, a semi-Hilbert space is a generalization of a Hilbert space in functional analysis, in which, roughly speaking, the inner product is required only to be positive semi-definite rather than positive definite, so that it gives rise to a seminorm rather than a vector space norm. The quotient of this space by the kernel of this seminorm is also required to be a Hilbert space in the usual sense.
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