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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 ,
Thomas Krainer  and
Gerardo A. Mendoza
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.

Keywords

58J5035J7014M15Resolventsmanifolds with conical singularitiesspectral theoryboundary value problemsGrassmannians
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 59 , Issue 4 , 01 August 2007 , pp. 742 - 794
Copyright
Copyright © Canadian Mathematical Society 2007

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