On subspace lattices I. Closedness type properties and tensor products

V.S. Shulman, Ivan Todorov

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We study properties of subspace lattices related to the continuity of the map Lat and the notion of reflexivity. We characterize various “closedness” properties in different ways and give the hierarchy between them. We investigate several properties related to tensor products of subspace lattices and show that the tensor product of the projection lattices of two von Neumann algebras, one of which is injective, is reflexive.
Original languageEnglish
Pages (from-to)561-579
Number of pages19
JournalIntegral Equations and Operator Theory
Volume52
Issue number4
DOIs
Publication statusPublished - Aug 2005

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis

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