Direct integral

id: direct-integral-264-7801836
title: Direct integral
text: In mathematics and functional analysis, a direct integral or Hilbert integral is a generalization of the concept of direct sum. The theory is most developed for direct integrals of Hilbert spaces and direct integrals of von Neumann algebras. The concept was introduced in 1949 by John von Neumann in one of the papers in the series On Rings of Operators. One of von Neumann's goals in this paper was to reduce the classification of von Neumann algebras on separable Hilbert spaces to the classificati
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Direct_integral
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date modified: 2024-03-05T03:52:41Z
main entity: {"identifier":"Q5280347","url":"https://www.wikidata.org/entity/Q5280347"}
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