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Approximating Functions of Positive Compact Operators by Using Bell Polynomials

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 30 Jun 2020 Netherlands, Italy English Publisher:MDPI AGJournal:Axioms, volume 9, page 73 (eissn: 2075-1680, Copyright policy )
Authors: Diego Caratelli; Pierpaolo Natalini; Paolo Emilio Ricci;

doi: 10.3390/axioms9030073

handle: 11590/379174

Approximating Functions of Positive Compact Operators by Using Bell Polynomials

Abstract

After recalling the most important properties of the Bell polynomials, we show how to approximate a positive compact operator by a suitable matrix. Then, we derive a representation formula for functions of the obtained matrix, which can be considered as an approximate value for the functions of the corresponding operator.

Countries
Netherlands, Italy
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Keywords

Bell polynomials, Positive compact operators, positive compact operators, Matrix functions, Robert's formulas, resolvent, matrix functions, orthogonal invariants, resolvent; Bell polynomials; orthogonal invariants; Robert’s formulas; positive compact operators; matrix functions, Orthogonal invariants, QA1-939, Robert’s formulas, Resolvent, Mathematics

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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).
BIP!Citations provided by BIP!
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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold
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