TY - JOUR
T1 - Norm Estimates for Solutions of Polynomial Operator Equations
AU - Gil, Michael
N1 - Publisher Copyright:
© 2015 Michael Gil'.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85014157451&partnerID=8YFLogxK
U2 - 10.1155/2015/524829
DO - 10.1155/2015/524829
M3 - Article
AN - SCOPUS:85014157451
SN - 2314-4629
VL - 2015
JO - Journal of Mathematics
JF - Journal of Mathematics
M1 - 524829
ER -