Families index for Boutet de Monvel operators

Research output: Contribution to journal › Article › Research

Authors

  • Severino Melo
  • Elmar Schrohe
  • Thomas Schick

Research Organisations

External Research Organisations

  • Universidade de Sao Paulo
  • University of Göttingen
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Details

Original languageEnglish
JournalMünster Journal of Mathematics
Volume6
Issue number2
Publication statusPublished - 2013

Abstract

We define the analytical and the topological indices for continuous families of operators in the C*-closure of the Boutet de Monvel algebra. Using techniques of C*-algebra K-theory and the Atiyah-Singer theorem for families of elliptic operators on a closed manifold, we prove that these two indices coincide.

Keywords

    math.KT, math.AP, math.FA, 19K56, 46L80, 58J32

Cite this

Families index for Boutet de Monvel operators. / Melo, Severino; Schrohe, Elmar; Schick, Thomas.
In: Münster Journal of Mathematics, Vol. 6, No. 2, 2013.

Research output: Contribution to journal › Article › Research

Melo, S, Schrohe, E & Schick, T 2013, 'Families index for Boutet de Monvel operators', Münster Journal of Mathematics, vol. 6, no. 2. <http://miami.uni-muenster.de/servlets/DerivateServlet/Derivate-6824/mjm_vol_6_09.pdf>
Melo, S., Schrohe, E., & Schick, T. (2013). Families index for Boutet de Monvel operators. Münster Journal of Mathematics, 6(2). http://miami.uni-muenster.de/servlets/DerivateServlet/Derivate-6824/mjm_vol_6_09.pdf
Melo S, Schrohe E, Schick T. Families index for Boutet de Monvel operators. Münster Journal of Mathematics. 2013;6(2).
Melo, Severino ; Schrohe, Elmar ; Schick, Thomas. / Families index for Boutet de Monvel operators. In: Münster Journal of Mathematics. 2013 ; Vol. 6, No. 2.
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AU - Melo, Severino

AU - Schrohe, Elmar

AU - Schick, Thomas

N1 - to appear in M\"unster Journal of Mathematics. v2: stylistic changes for M\"unster Journal of Mathematics; 14 pages

PY - 2013

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KW - math.AP

KW - math.FA

KW - 19K56, 46L80, 58J32

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JO - Münster Journal of Mathematics

JF - Münster Journal of Mathematics

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