On polynomial approximation of the inverseof an operator
Copyright policy )On polynomial approximation of the inverseof an operator
The author gives a necessary and sufficient condition for the inverse of \(A\) to be the uniform limit of polynomials in \(A\). He discusses the same problem for the strong and weak operator topologies.
Linear operator approximation theory, Numerical Analysis, Algebra and Number Theory, Hilbert space, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), resolvent, Invertible operator, Invariant subspace, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Approximation by polynomials, invariant subspace, Discrete Mathematics and Combinatorics, invertible operator, inverse operator, Geometry and Topology, Resolvent
Linear operator approximation theory, Numerical Analysis, Algebra and Number Theory, Hilbert space, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), resolvent, Invertible operator, Invariant subspace, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Approximation by polynomials, invariant subspace, Discrete Mathematics and Combinatorics, invertible operator, inverse operator, Geometry and Topology, Resolvent
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).2 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).Average 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!