C*-algebras associated with some second order differential operators

E. B. Davies; V. Georgescu

doi:10.7900/jot.2011sep09.1931

C*-algebras associated with some second order differential operators

E. B. Davies^*, V. Georgescu

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We compare two C*-algebras that have been used to study the essential spectrum. This is done by considering a simple second order elliptic differential operator acting in L²(ℝN), which is affiliated with one or both of the algebras depending on the behaviour of the coefficients.

Original language	English
Pages (from-to)	437-450
Number of pages	14
Journal	JOURNAL OF OPERATOR THEORY
Volume	70
Issue number	2
DOIs	https://doi.org/10.7900/jot.2011sep09.1931
Publication status	Published - 1 Aug 2013

Keywords

C*-algebra
Elliptic differential operator
Essential spectrum
Spectral analysis

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10.7900/jot.2011sep09.1931

http://arxiv.org/abs/1103.3880

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title = "C*-algebras associated with some second order differential operators",

abstract = "We compare two C*-algebras that have been used to study the essential spectrum. This is done by considering a simple second order elliptic differential operator acting in L2(ℝN), which is affiliated with one or both of the algebras depending on the behaviour of the coefficients. ",

keywords = "C*-algebra, Elliptic differential operator, Essential spectrum, Spectral analysis",

author = "Davies, {E. B.} and V. Georgescu",

year = "2013",

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doi = "10.7900/jot.2011sep09.1931",

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AU - Georgescu, V.

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AB - We compare two C*-algebras that have been used to study the essential spectrum. This is done by considering a simple second order elliptic differential operator acting in L2(ℝN), which is affiliated with one or both of the algebras depending on the behaviour of the coefficients.

KW - C-algebra

KW - Elliptic differential operator

KW - Essential spectrum

KW - Spectral analysis

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DO - 10.7900/jot.2011sep09.1931

M3 - Article

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EP - 450

JO - JOURNAL OF OPERATOR THEORY

JF - JOURNAL OF OPERATOR THEORY

IS - 2

ER -

C*-algebras associated with some second order differential operators

Abstract

Keywords

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