Nonlinear Approximation Theory in Banach Spaces
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C: Mathematical Analysis".
Deadline for manuscript submissions: 31 July 2026 | Viewed by 12
Special Issue Editor
Interests: approximation theory; functional analysis; real analysis; complex analysis
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The theory of approximation in Banach spaces has experienced a rapid development in recent decades, driven both by its intrinsic mathematical depth and its wide range of applications in analysis, optimization, numerical mathematics, signal processing, and data science.
This Special Issue aims to bring together recent advances in nonlinear approximation theory in Banach spaces, with particular emphasis on the interplay between functional analysis, geometry of Banach spaces, and constructive approximation methods.
Potential topics include, but are not limited to, the following:
- Greedy algorithms and sparse approximation in Banach spaces.
- Norming sets, dictionaries, and bases for nonlinear approximation.
- Uniform convexity, smoothness, and geometric properties relevant to approximation.
- Adaptive methods for nonlinear approximation and applications in PDEs.
- Approximation with frames and redundant systems.
- Quantitative estimates in nonlinear approximation (Lebesgue-type inequalities, error bounds).
- Nonlinear approximation in function spaces and sequence spaces.
- Links between approximation theory, optimization, and machine learning.
Dr. Pablo M. Berná
Guest Editor
Manuscript Submission Information
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Keywords
- nonlinear approximation theory
- functional analysis
- Banach space theory
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