Geometry and spectra of closed extensions of elliptic cone operators

Juan B. Gil; Thomas Krainer; Gerardo A. Mendoza

doi:10.4153/CJM-2007-033-7

Geometry and spectra of closed extensions of elliptic cone operators

Juan B. Gil, Thomas Krainer, Gerardo A. Mendoza

Division of Mathematics & Natural Sciences (Altoona)

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	742-794
Number of pages	53
Journal	Canadian Journal of Mathematics
Volume	59
Issue number	4
DOIs	https://doi.org/10.4153/CJM-2007-033-7
State	Published - Aug 2007

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "Geometry and spectra of closed extensions of elliptic cone operators",

abstract = "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.",

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year = "2007",

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T1 - Geometry and spectra of closed extensions of elliptic cone operators

AU - Gil, Juan B.

AU - Krainer, Thomas

AU - Mendoza, Gerardo A.

PY - 2007/8

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N2 - 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.

AB - 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.

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EP - 794

JO - Canadian Journal of Mathematics

JF - Canadian Journal of Mathematics

IS - 4

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Geometry and spectra of closed extensions of elliptic cone operators

Abstract

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