Estimates of Approximation Numbers and Applications
No Thumbnail Available
Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Heidelberg
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
In this study, the estimates of approximation numbers of embedding operators in weighted spaces have been analyzed. These estimates depend on orders of differential operators, dimensions of function spaces and weighted functions. This fact implies that the associated embedding operators belong to Schatten class of compact operators. By using these estimates, the discreetness of spectrum and completion of root elements relating to principal nonselfedjoint degenerate differential operators is obtained.
Description
Keywords
Approximation numbers, Kolmogorov numbers, separable boundary value problems, differential-operator equations, Banach-valued function spaces, operator-valued multipliers, interpolation of Banach spaces
Turkish CoHE Thesis Center URL
Fields of Science
Citation
WoS Q
Scopus Q
Q4
Source
Volume
28
Issue
9
Start Page
1883
End Page
1896