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

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Article number	73
Number of pages	14
Journal	Axioms
Volume	9
Issue number	3
DOIs	https://doi.org/10.3390/AXIOMS9030073
Publication status	Published - 1 Sept 2020

Keywords

Bell polynomials
Matrix functions
Orthogonal invariants
Positive compact operators
Resolvent
Robert's formulas

Access to Document

10.3390/AXIOMS9030073

Cite this

@article{fe14120e83c6407eb4ae2a6e8340b8ef,

title = "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.",

keywords = "Bell polynomials, Matrix functions, Orthogonal invariants, Positive compact operators, Resolvent, Robert's formulas",

author = "Diego Caratelli and Pierpaolo Natalini and Ricci, \{Paolo Emilio\}",

year = "2020",

month = sep,

day = "1",

doi = "10.3390/AXIOMS9030073",

language = "English",

volume = "9",

journal = "Axioms",

issn = "2075-1680",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "3",

}

TY - JOUR

T1 - Approximating functions of positive compact operators by using bell polynomials

AU - Caratelli, Diego

AU - Natalini, Pierpaolo

AU - Ricci, Paolo Emilio

PY - 2020/9/1

Y1 - 2020/9/1

N2 - 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.

AB - 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.

KW - Bell polynomials

KW - Matrix functions

KW - Orthogonal invariants

KW - Positive compact operators

KW - Resolvent

KW - Robert's formulas

UR - https://www.scopus.com/pages/publications/85088379092

U2 - 10.3390/AXIOMS9030073

DO - 10.3390/AXIOMS9030073

M3 - Article

AN - SCOPUS:85088379092

SN - 2075-1680

VL - 9

JO - Axioms

JF - Axioms

IS - 3

M1 - 73

ER -

Approximating functions of positive compact operators by using bell polynomials

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this