Norm Estimates for Solutions of Polynomial Operator Equations
Author
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-04
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We consider the equations ∑ k = 0 m c m - k A k X B k = C and ∑ k = 0 m c m - k A k X B m - k = C , where c k ∈ C ( k = 1 , … , m ) , c 0 = 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.
American Psychological Association (APA)
Gil', Michael. 2015. Norm Estimates for Solutions of Polynomial Operator Equations. Journal of Mathematics،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068686
Modern Language Association (MLA)
Gil', Michael. Norm Estimates for Solutions of Polynomial Operator Equations. Journal of Mathematics No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1068686
American Medical Association (AMA)
Gil', Michael. Norm Estimates for Solutions of Polynomial Operator Equations. Journal of Mathematics. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068686
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068686