English

An invariant for pairs of almost commuting unbounded operators

funct-an 2008-02-03 v1 Functional Analysis

Abstract

For a wide class of pairs of unbounded selfadjoint operators with bounded commutator we construct a K-theoretical integer invariant which is continuous, is equal to zero for commuting operators and is equal to one for the pair (x, i d/dx).

Keywords

Cite

@article{arxiv.funct-an/9702013,
  title  = {An invariant for pairs of almost commuting unbounded operators},
  author = {V. M. Manuilov},
  journal= {arXiv preprint arXiv:funct-an/9702013},
  year   = {2008}
}

Comments

9 pages, LaTeX, version 2.09, no figures