Approximating Functions of Positive Compact Operators by Using Bell Polynomials
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-06-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/9/3/73 |
| _version_ | 1797563623772520448 |
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| author | Diego Caratelli Pierpaolo Natalini Paolo Emilio Ricci |
| author_facet | Diego Caratelli Pierpaolo Natalini Paolo Emilio Ricci |
| author_sort | Diego Caratelli |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T18:46:10Z |
| format | Article |
| id | doaj.art-1eefdee6468942cf8f6f16601d9a1603 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T18:46:10Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-1eefdee6468942cf8f6f16601d9a16032023-11-20T05:28:59ZengMDPI AGAxioms2075-16802020-06-01937310.3390/axioms9030073Approximating Functions of Positive Compact Operators by Using Bell PolynomialsDiego Caratelli0Pierpaolo Natalini1Paolo Emilio Ricci2Department of Research and Development, The Antenna Company, High Tech Campus 29, 5656 AE Eindhoven, The NetherlandsDepartment of Mathematics and Physics, Roma Tre University, Largo San Leonardo Murialdo 1, 00146 Rome, ItalyDepartment of Mathematics, International Telematic University UniNettuno, Corso Vittorio Emanuele II 39, 00186 Rome, ItalyAfter 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.https://www.mdpi.com/2075-1680/9/3/73resolventBell polynomialsorthogonal invariantsRobert’s formulaspositive compact operatorsmatrix functions |
| spellingShingle | Diego Caratelli Pierpaolo Natalini Paolo Emilio Ricci Approximating Functions of Positive Compact Operators by Using Bell Polynomials Axioms resolvent Bell polynomials orthogonal invariants Robert’s formulas positive compact operators matrix functions |
| title | Approximating Functions of Positive Compact Operators by Using Bell Polynomials |
| title_full | Approximating Functions of Positive Compact Operators by Using Bell Polynomials |
| title_fullStr | Approximating Functions of Positive Compact Operators by Using Bell Polynomials |
| title_full_unstemmed | Approximating Functions of Positive Compact Operators by Using Bell Polynomials |
| title_short | Approximating Functions of Positive Compact Operators by Using Bell Polynomials |
| title_sort | approximating functions of positive compact operators by using bell polynomials |
| topic | resolvent Bell polynomials orthogonal invariants Robert’s formulas positive compact operators matrix functions |
| url | https://www.mdpi.com/2075-1680/9/3/73 |
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