One functional operator inversion formula
Some results about inversion formula of functional operator with generalized dilation are given. By means of commutative Banach algebra theory the explicit form of inversion operator is expressed. Some commutative Banach algebras with countable generator systems are constructed, their maximal ideal...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2001-06-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9892 |
| _version_ | 1811189724587491328 |
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| author | P. Plaschinsky |
| author_facet | P. Plaschinsky |
| author_sort | P. Plaschinsky |
| collection | DOAJ |
| description | Some results about inversion formula of functional operator with generalized dilation are given. By means of commutative Banach algebra theory the explicit form of inversion operator is expressed. Some commutative Banach algebras with countable generator systems are constructed, their maximal ideal spaces are investigated.
Vieno funkcinio operatoriaus atvirkštinio operatoriaus formulė
Santrauka
Straipsnyje nagrinejama vieno apibendrinto operatoriaus apvertimo problema. Naudojantis komutatyviaja Banacho algebros teorija, sudaryta atvirkštinio operatoriaus išreikštine skaičiavimo formule. Sukonstruotos kelios komutatyvines Banacho algebros, kuriu generuojančios sistemos yra suskaičiuojamos. Pagrindineje teoremoje pateiktos būtinos ir pakankamos salygos, kad funkcinis operatorius turetu atvirkštini.
First Published Online: 14 Oct 2010 |
| first_indexed | 2024-04-11T14:40:26Z |
| format | Article |
| id | doaj.art-4240dc710e744c1b920924268a73e4b6 |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-04-11T14:40:26Z |
| publishDate | 2001-06-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-4240dc710e744c1b920924268a73e4b62022-12-22T04:18:01ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102001-06-016110.3846/13926292.2001.9637153One functional operator inversion formulaP. Plaschinsky0Mechanics and Mathematics Faculty , Belarusian State University , F. Skariny av. 4–420, Minsk, 220050, BelarusSome results about inversion formula of functional operator with generalized dilation are given. By means of commutative Banach algebra theory the explicit form of inversion operator is expressed. Some commutative Banach algebras with countable generator systems are constructed, their maximal ideal spaces are investigated. Vieno funkcinio operatoriaus atvirkštinio operatoriaus formulė Santrauka Straipsnyje nagrinejama vieno apibendrinto operatoriaus apvertimo problema. Naudojantis komutatyviaja Banacho algebros teorija, sudaryta atvirkštinio operatoriaus išreikštine skaičiavimo formule. Sukonstruotos kelios komutatyvines Banacho algebros, kuriu generuojančios sistemos yra suskaičiuojamos. Pagrindineje teoremoje pateiktos būtinos ir pakankamos salygos, kad funkcinis operatorius turetu atvirkštini. First Published Online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/9892- |
| spellingShingle | P. Plaschinsky One functional operator inversion formula Mathematical Modelling and Analysis - |
| title | One functional operator inversion formula |
| title_full | One functional operator inversion formula |
| title_fullStr | One functional operator inversion formula |
| title_full_unstemmed | One functional operator inversion formula |
| title_short | One functional operator inversion formula |
| title_sort | one functional operator inversion formula |
| topic | - |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/9892 |
| work_keys_str_mv | AT pplaschinsky onefunctionaloperatorinversionformula |