6533b871fe1ef96bd12d2362

RESEARCH PRODUCT

The perturbation classes problem for closed operators

Manuel GonzálezMuneo ChōPietro Aiena

subject

Mathematics::Functional AnalysisPure mathematicsMathematics::Operator AlgebrasGeneral Mathematics010102 general mathematicsMathematical analysisBanach spacePerturbation (astronomy)Fredholm integral equationMathematics::Spectral TheoryOperator theory01 natural sciencesFredholm theorysymbols.namesakeMathematics::K-Theory and HomologyBounded function0103 physical sciencessymbols010307 mathematical physics0101 mathematicsMathematics

description

We compare the perturbation classes for closed semi-Fredholm and Fredholm operators with dense domain acting between Banach spaces with the corresponding perturbation classes for bounded semi-Fredholm and Fredholm operators. We show that they coincide in some cases, but they are different in general. We describe several relevant examples and point out some open problems.

yearjournalcountryeditionlanguage
2017-01-01Filomat
https://doi.org/10.2298/fil1703621a