6533b828fe1ef96bd1288d83
RESEARCH PRODUCT
Fredholm operator families ?II
Jorge CuellarSvetlana DyninAlexander Dyninsubject
Unbounded operatorDiscrete mathematicsMathematics::Functional AnalysisAlgebra and Number TheoryNuclear operatorApproximation propertyFredholm operatorFinite-rank operatorCompact operatorAnalysisStrictly singular operatorCompact operator on Hilbert spaceMathematicsdescription
First, we give a characterization of semi-Fredholm operators (i.e. those which are left or right invertible modulo compact operators) on Hausdorff tvs which generalizes the usual one in the context of Banach spaces. Then we consider a class of semi-Fredholm operator families on tvs which include both the "classical" semi-Fredholm operator valued functions on Banach spaces (continuous in the norm sense), and families of the form T + Kn, where Kn is a collectively compact sequence which converges strongly to O. For these families we prove a general stability theorem.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1984-01-01 | Integral Equations and Operator Theory |