Families index for Boutet de Monvel operators

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung

Autoren

  • Severino Melo
  • Elmar Schrohe
  • Thomas Schick

Organisationseinheiten

Externe Organisationen

  • Universidade de Sao Paulo
  • Georg-August-Universität Göttingen
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
FachzeitschriftMünster Journal of Mathematics
Jahrgang6
Ausgabenummer2
PublikationsstatusVeröffentlicht - 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.

Zitieren

Families index for Boutet de Monvel operators. / Melo, Severino; Schrohe, Elmar; Schick, Thomas.
in: Münster Journal of Mathematics, Jahrgang 6, Nr. 2, 2013.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung

Melo, S, Schrohe, E & Schick, T 2013, 'Families index for Boutet de Monvel operators', Münster Journal of Mathematics, Jg. 6, Nr. 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 ; Jahrgang 6, Nr. 2.
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T1 - Families index for Boutet de Monvel operators

AU - Melo, Severino

AU - Schrohe, Elmar

AU - Schick, Thomas

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