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Geometry and Spectra of Closed Extensions of Elliptic Cone Operators

Published online by Cambridge University Press:  20 November 2018

Juan B. Gil
Affiliation:
Penn State Altoona, 3000 Ivyside Park, Altoona, PA 16601-3760 email: jgil@psu.edu, krainer@psu.edu
Thomas Krainer
Affiliation:
Penn State Altoona, 3000 Ivyside Park, Altoona, PA 16601-3760 email: jgil@psu.edu, krainer@psu.edu
Gerardo A. Mendoza
Affiliation:
Department of Mathematics, Temple University, Philadelphia, PA 19122 email: gmendoza@euclid.math.temple.edu
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Abstract

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We study the geometry of the set of closed extensions of index 0 of an elliptic differential cone operator and its model operator in connection with the spectra of the extensions, and we give a necessary and sufficient condition for the existence of rays of minimal growth for such operators.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2007

References

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