On Indefinite Moment Problems and Resolvent Matrices of Hermitian Operators in Kreîn Spaces
Copyright policy )On Indefinite Moment Problems and Resolvent Matrices of Hermitian Operators in Kreîn Spaces
AbstractLet (sj)∞j=0 be a sequence of real numbers such that the Hankel matrices (si+j)∞0, (Si+j+i)∞0 have finite numbers of negative eigenvalues. The indefinite moment problem with the moments Sj (j = 0,1,2, …) and the corresponding Stieltjes string are investigated. We use the approach via the Kreîn — Langer extension theory of symmetric operators in spaces with indefinite metric. In the framework of this approach a description of L– resolvents of a class of symmetric operators in Kreîn space and a simple formula for the calculation of the L– resolvent matrix in terms of boundary operators are given.
- Donetsk National University Ukraine
L-resolvents, spaces with indefinite metric, symmetric operators in spaces with indefinite metric, Hermitian operators, continued fraction, Linear operators on spaces with an indefinite metric, indefinite moment problem, symmetric operators, Hankel matrices, Stieltjes string, Moment problems, Krein space, Kreĭn-Langer extension, Hermitian and normal operators (spectral measures, functional calculus, etc.), Spectrum, resolvent, Krein-Langer extension, Linear operator methods in interpolation, moment and extension problems
L-resolvents, spaces with indefinite metric, symmetric operators in spaces with indefinite metric, Hermitian operators, continued fraction, Linear operators on spaces with an indefinite metric, indefinite moment problem, symmetric operators, Hankel matrices, Stieltjes string, Moment problems, Krein space, Kreĭn-Langer extension, Hermitian and normal operators (spectral measures, functional calculus, etc.), Spectrum, resolvent, Krein-Langer extension, Linear operator methods in interpolation, moment and extension problems
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).11 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!