Norming points and critical points
Copyright policy )Norming points and critical points
The authors introduce a concept of differentiation for functions defined on the unit sphere of a Banach space which allows them to prove, for Banach spaces with \(C^p\) norm, that a linear functional is norm-attaining if and only if it has a critical point on the unit sphere under this new concept of differentiation.
- Pohang University of Science and Technology Korea (Republic of)
Banach space, Derivatives of functions in infinite-dimensional spaces, critical point, BANACH-SPACES, differentiation, SMOOTH, Critical point, Geometry and structure of normed linear spaces, Differentiation, DIMENSIONAL HILBERT-SPACE, Bishop-Phelps theorem, UNIT-SPHERE
Banach space, Derivatives of functions in infinite-dimensional spaces, critical point, BANACH-SPACES, differentiation, SMOOTH, Critical point, Geometry and structure of normed linear spaces, Differentiation, DIMENSIONAL HILBERT-SPACE, Bishop-Phelps theorem, UNIT-SPHERE
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!