Semi-Hilbert space

id: semi-hilbert-space-201-15916631
title: Semi-Hilbert space
text: 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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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Semi-Hilbert_space
date created:
date modified: 2023-08-12T18:50:26Z
main entity: {"identifier":"Q7449274","url":"https://www.wikidata.org/entity/Q7449274"}
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integrity: 13

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