C*-Algebra approach to the index theory of boundary value problems

@inproceedings{Melo2012CAlgebraAT,
  title={C*-Algebra approach to the index theory of boundary value problems},
  author={Severino T. Melo and Elmar Schrohe and Thomas Schick},
  year={2012}
}
  • Severino T. Melo, Elmar Schrohe, Thomas Schick
  • Published 2012
  • Mathematics
  • Boutet de Monvel's calculus provides a pseudodifferential framework which encompasses the classical differential boundary value problems. In an extension of the concept of Lopatinski and Shapiro, it associates to each operator two symbols: a pseudodifferential principal symbol, which is a bundle homomorphism, and an operator-valued boundary symbol. Ellipticity requires the invertibility of both. If the underlying manifold is compact, elliptic elements define Fredholm operators. Boutet de Monvel… CONTINUE READING

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 21 REFERENCES

    Boundary problems for pseudo-differential operators

    VIEW 12 EXCERPTS
    HIGHLY INFLUENTIAL

    K-Theory, Lecture notes

    • M. F. Atiyah
    • 1967
    VIEW 10 EXCERPTS
    HIGHLY INFLUENTIAL

    Integro-differential operators on vector bundles

    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    INDEX THEORY OF ELLIPTIC BOUNDARY PROBLEMS

    VIEW 3 EXCERPTS
    HIGHLY INFLUENTIAL

    Functional Calculus of Pseudo-Differential Boundary Problems

    VIEW 3 EXCERPTS
    HIGHLY INFLUENTIAL

    Algebraic Topology

    • A. Hatcher
    • 2002