Article ID Journal Published Year Pages File Type
4615719 Journal of Mathematical Analysis and Applications 2014 26 Pages PDF
Abstract
We study the stability and Fredholm property of the finite sections of quasi-banded operators acting on Lp spaces over the real line. This family is significantly larger than the set of band-dominated operators, but still permits to derive criteria for the stability and results on the splitting property, as well as an index formula in the form as it is known for the classical cases. In particular, this class covers convolution type operators with semi-almost periodic and quasi-continuous symbols, and operators of multiplication by slowly oscillating, almost periodic or even more general coefficients.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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