Original Paper

Koplienko–Neidhardt trace formula for pairs of contraction operators and pairs of maximal dissipative operators

  1. S. A. M. Marcantognini1,*,
  2. M. D. Morán2,†

Article first published online: 6 APR 2006

DOI: 10.1002/mana.200310393

Issue

Mathematische Nachrichten

Mathematische Nachrichten

Volume 279, Issue 7, pages 784–797, May 2006

Additional Information

How to Cite

Marcantognini, S. A. M. and Morán, M. D. (2006), Koplienko–Neidhardt trace formula for pairs of contraction operators and pairs of maximal dissipative operators. Math. Nachr., 279: 784–797. doi: 10.1002/mana.200310393

Author Information

  1. 1

    IVIC, Departamento de Matemáticas, Apartado Postal 21827, Caracas 1020A, Venezuela

  2. 2

    Universidad Central de Venezuela, Facultad de Ciencias, Escuela de Matemáticas, Apartado Postal 20513, Caracas 1020A, Venezuela

  1. †

    Phone: +58 212 605 1456, Fax: +58 212 605 1199

*Phone: +58 212 504 1412, Fax: +58 212 504 1416

Publication History

  1. Issue published online: 6 APR 2006
  2. Article first published online: 6 APR 2006
  3. Manuscript Accepted: 12 JUL 2004
  4. Manuscript Revised: 25 MAY 2004
  5. Manuscript Received: 7 AUG 2003

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Keywords:

  • Trace formula;
  • spectral shift function;
  • perturbations

Abstract

We present a generalization of Koplienko–Neidhardt trace formula for pairs of Hilbert space operators (T , V ) with T contractive and V unitary such that T – V is a Hilbert–Schmidt operator. We extend the result to pairs of contractions and then, via Cayley transform, to pairs of maximal dissipative operators. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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