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A remark on invertibility of Hammerstein-type operators

✍ Scribed by Vaclav Dolezal

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
142 KB
Volume
5
Category
Article
ISSN
0893-9659

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✦ Synopsis

It

is well known that if A, B are quare matrices of the same order Nda that I + AB is nonsingular, then I + BA is also nonsinguh. In thie note we rhow that thim ass&h cm be generalized for the case that A or B is a (not necessarily linear) operator IXI a lineu w.

πŸ“œ SIMILAR VOLUMES

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On approximate solution for operator equations of Hammerstein type
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The aim of this paper is to investigate a method of approximating a solution of the operator equation of Hammerstein type x + KF(x) = f by solutions of similar finite-dimensional problems which contain operators better than K and F. Conditions of convergence and convergence rate are given and an ite

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✍ M. R. Weber πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 122 KB

## Abstract In Banach spaces ordered by a normal cone that contains interior points the positive invertibility of operators is studied. If there exists a uniformly positive functional then any positively invertible operator __A__ possesses a __B__ ‐decomposition, i.e., a positive decomposition __A_