On the stability of some preservers

Research output: Contribution to journalArticlepeer-review


We study some “almost preserver” problems on von Neumann algebra modules. More precisely, we study (1) maps which “almost preserve” the right or left annihilator; (2) the “almost band preservers” – that is, maps which “almost preserve corners”, and (3) “almost centralizers,” which almost preserve module actions. Under certain conditions, we show that maps of these types are automatically continuous, and can be approximated by maps which precisely preserve these relations; often, the operators from the latter class are multiplication operators.

Original languageEnglish (US)
Pages (from-to)494-526
Number of pages33
JournalLinear Algebra and Its Applications
StatePublished - Feb 15 2019


  • C-algebra of real rank 0
  • Module
  • Non-commutative function space
  • Preserver problem
  • von Neumann algebra

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


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