Spectral multiplicity of the solutions of polynomial operator equations

1989 ◽  
Vol 44 (6) ◽  
pp. 856-861 ◽  
Author(s):  
A. V. Lipin
Keyword(s):  
Polynomial Operator ◽  
Spectral Multiplicity ◽  
Operator Equations

scholarly journals Norm Estimates for Solutions of Polynomial Operator Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Michael Gil’
Keyword(s):  
Banach Space ◽  
Hilbert Spaces ◽  
Polynomial Operator ◽  
Bounded Operators ◽  
Operator Equations ◽  
Norm Estimates

We consider the equations∑k=0mcm-kAkXBk=Cand∑k=0mcm-kAkXBm-k=C, whereck∈C  (k=1,…,m),c0=1,A,B,Care given linear bounded operators in a Banach space andXis to be found. Representations of solutions are derived. In the cases of Euclidean and Hilbert spaces, norm estimates for the solutions are suggested.

On Homogenization of Controlled Objects Described by Operator Equations of Hammerstein Type

2003 ◽  
Vol 35 (11) ◽  
pp. 19-27
Author(s):  
Victor N. Mizernyi ◽  
Peter I. Kogut ◽  
Tatyana N. Rudyanova
Keyword(s):  
Operator Equations
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