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ON THE FUNCTOR ℓ 2

By Chris Heunen

Abstract

and both categories are enriched over algebraic domains. The functor preserves daggers, monoidal structures, enrichment, and various (co)limits, but has no adjoints. Up to unitaries, its direct image consists precisely of the partial isometries, but its essential image consists of all continuous linear maps between Hilbert spaces. 1

Topics: Abstract. We study the functor ℓ2 from the category of partial injections to the category of Hilbert
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.352.8091
Provided by: CiteSeerX
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