Approximating functions of positive compact operators by using bell polynomials

Diego Caratelli; Pierpaolo Natalini; Paolo Emilio Ricci

doi:10.3390/AXIOMS9030073

Approximating functions of positive compact operators by using bell polynomials

Diego Caratelli, Pierpaolo Natalini, Paolo Emilio Ricci (Corresponding author)

Electromagnetics

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

Samenvatting

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.

Originele taal-2	Engels
Artikelnummer	73
Aantal pagina's	14
Tijdschrift	Axioms
Volume	9
Nummer van het tijdschrift	3
DOI's	https://doi.org/10.3390/AXIOMS9030073
Status	Gepubliceerd - 1 sep 2020

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10.3390/AXIOMS9030073

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Citeer dit

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KW - Orthogonal invariants

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KW - Resolvent

KW - Robert's formulas

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