English

Equivalence between estimates for quasi-commutators and commutators

Functional Analysis 2017-01-26 v1

Abstract

In this short note we show that under some mild conditions on the space and the operators, an estimate for Sf(A)f(B)S\|Sf(A) - f(B)S\| needs only to be studied for invertible SS and BB equal to AA. Thus estimates for a quasi-commutator can be derived from that for the commutator.

Cite

@article{arxiv.1701.07310,
  title  = {Equivalence between estimates for quasi-commutators and commutators},
  author = {Hans Zwart},
  journal= {arXiv preprint arXiv:1701.07310},
  year   = {2017}
}

Comments

5 pages

R2 v1 2026-06-22T17:59:56.148Z