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On positive commutators

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Abstract

Let A and B be positive operators on a Banach lattice such that the commutator C = AB − BA is also positive. We study the size of the spectrum of C.

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Authors and Affiliations

  1. Department of Mathematics, Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia

    Janko Bračič

  2. Department of Mathematics, Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia

    Roman Drnovšek

  3. “M. A. Bonch-Bruevich” State University of Telecommunications, nab. reki Mojki 61, 191065, St. Petersburg, Russia

    Yuliya B. Farforovskaya & Evgueniy L. Rabkin

  4. Institute of Mathematics, Polish Academy of Sciences, P.O. Box 21, 00-956, Warsaw, Poland

    Jaroslav Zemánek

Authors
  1. Janko Bračič
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  2. Roman Drnovšek
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  3. Yuliya B. Farforovskaya
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  4. Evgueniy L. Rabkin
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  5. Jaroslav Zemánek
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Corresponding author

Correspondence to Roman Drnovšek.

Additional information

This paper was supported in part by the Slovenian Research Agency and by the European Community project TODEQ (MTKD-CT-2005-030042).

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Bračič, J., Drnovšek, R., Farforovskaya, Y.B. et al. On positive commutators. Positivity 14, 431–439 (2010). https://doi.org/10.1007/s11117-009-0028-1

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  • DOI: https://doi.org/10.1007/s11117-009-0028-1

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