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On the Krein and Friedrichs extensions of a positive Jacobi operator

Article ID Journal Published Year Pages File Type
9492856 Expositiones Mathematicae 2005 8 Pages PDF
Abstract
We show that for a positive linear operator acting in ℓ2 and defined fromanxn+1+bnxn+an-1xn-1its so-called Friedrichs and Krein extensions may be explicitly characterized by boundary conditions as n→∞.
Keywords
47B3647B25Minimal solutionBoundary conditionsDifference equations
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
On the Krein and Friedrichs extensions of a positive Jacobi operator
Authors
B. Malcolm Brown, Jacob S. Christiansen,
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Journal
Expositiones Mathematicae
Journal: Expositiones Mathematicae
Related Categories
47B36
47B25
Minimal solution
Boundary conditions
Difference equations
Algebra and Number Theory
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Applied Mathematics
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