Some trace monotonicity properties and applications

Jean Michel Combes, Peter D. Hislop

Research output: Contribution to journalArticlepeer-review


We present some results on the monotonicity of some traces involving functions of self-adjoint operators with respect to the natural ordering of their associated quadratic forms. The relation between these results and Löwner's Theorem is discussed. We also apply these results to complete a proof of the Wegner estimate for continuum models of random Schrödinger operators as given in a 1994 paper by Combes and Hislop.

Original languageEnglish
Pages (from-to)394-401
Number of pages8
JournalAnnals of Functional Analysis
Issue number3
StatePublished - Aug 1 2016

Bibliographical note

Publisher Copyright:
© 2016 by the Tusi Mathematical Research Group.


  • Loewner's theorem
  • Operator monotone functions
  • Operator trace inequalities
  • Random schrodinger operators
  • Wegner estimate

ASJC Scopus subject areas

  • Analysis
  • Anatomy
  • Algebra and Number Theory


Dive into the research topics of 'Some trace monotonicity properties and applications'. Together they form a unique fingerprint.

Cite this