Norm Estimates for Solutions of Polynomial Operator Equations
We consider the equations ∑k=0mcm-kAkXBk=C and ∑k=0mcm-kAkXBm-k=C, where ck∈C (k=1,…,m), c0=1, A,B,C are given linear bounded operators in a Banach space and X is to be found. Representations of solutions are derived. In the cases of Euclidean and Hilbert spaces, norm estimates for the solutions ar...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/524829 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832545699693068288 |
|---|---|
| author | Michael Gil’ |
| author_facet | Michael Gil’ |
| author_sort | Michael Gil’ |
| collection | DOAJ |
| description | We consider the equations ∑k=0mcm-kAkXBk=C and ∑k=0mcm-kAkXBm-k=C, where ck∈C (k=1,…,m), c0=1, A,B,C are given linear bounded operators in a Banach space and X is to be found. Representations of solutions are derived. In the cases of Euclidean and Hilbert spaces, norm estimates for the solutions are suggested. |
| format | Article |
| id | doaj-art-236125aff16f4aca8caab8a2d4f6d431 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-236125aff16f4aca8caab8a2d4f6d4312025-02-03T07:24:50ZengWileyJournal of Mathematics2314-46292314-47852015-01-01201510.1155/2015/524829524829Norm Estimates for Solutions of Polynomial Operator EquationsMichael Gil’0Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, 84105 Beer-Sheva, IsraelWe consider the equations ∑k=0mcm-kAkXBk=C and ∑k=0mcm-kAkXBm-k=C, where ck∈C (k=1,…,m), c0=1, A,B,C are given linear bounded operators in a Banach space and X is to be found. Representations of solutions are derived. In the cases of Euclidean and Hilbert spaces, norm estimates for the solutions are suggested.http://dx.doi.org/10.1155/2015/524829 |
| spellingShingle | Michael Gil’ Norm Estimates for Solutions of Polynomial Operator Equations Journal of Mathematics |
| title | Norm Estimates for Solutions of Polynomial Operator Equations |
| title_full | Norm Estimates for Solutions of Polynomial Operator Equations |
| title_fullStr | Norm Estimates for Solutions of Polynomial Operator Equations |
| title_full_unstemmed | Norm Estimates for Solutions of Polynomial Operator Equations |
| title_short | Norm Estimates for Solutions of Polynomial Operator Equations |
| title_sort | norm estimates for solutions of polynomial operator equations |
| url | http://dx.doi.org/10.1155/2015/524829 |
| work_keys_str_mv | AT michaelgil normestimatesforsolutionsofpolynomialoperatorequations |