Calkin algebra

id: calkin-algebra-232-10333132
title: Calkin algebra
text: In functional analysis, the Calkin algebra, named after John Williams Calkin, is the quotient of B(H), the ring of bounded linear operators on a separable infinite-dimensional Hilbert space H, by the ideal K(H) of compact operators. Here the addition in B(H) is addition of operators and the multiplication in B(H) is composition of operators; it is easy to verify that these operations make B(H) into a ring. When scalar multiplication is also included, B(H) becomes in fact an algebra over the same
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Calkin_algebra
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date modified: 2021-11-30T17:04:42Z
main entity: {"identifier":"Q1027067","url":"https://www.wikidata.org/entity/Q1027067"}
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