Minimal projections onto hyperplanes in ℓpn
نویسندگان
چکیده
منابع مشابه
Minimal Shape-preserving Projections onto N
In this paper are determined minimal shape-preserving projections onto the n-th degree algebraic polynomials.
متن کاملThe Geometry of Minimal Shape-preserving Projections onto N
We obtain minimal shape-preserving projections onto the n-th degree algebraic polynomials via a geometric approach.
متن کاملMinimal Shape-preserving Projections Onto Πn: Generalizations and Extensions
The goal of this paper is to further the investigation begun in [6]. With the benefit of nearly ten years of work, we begin by indicating how several proofs from [6] can be substantially improved. We show that the problem of preserving k-convexity onto Πn is one part of a larger shape-preserving problem (multi-convex preservation) relative to Πn and we completely solve this expanded problem. An...
متن کاملUniqueness of Minimal Projections onto Two-dimensional Subspaces
In this paper we prove that the minimal projections from Lp (1 < p < ∞) onto any two-dimensional subspace is unique. This result complements the theorems of W. Odyniec ([OL, Theorem I.1.3], [O3]) We also investigate the minimal number of norming points for such projections.
متن کاملProjections onto linear subspaces
Viewing vector/matrix multiplications as " projections onto linear subspaces " is one of the most useful ways to think about these operations. In this note, I'll put together necessary pieces to achieve this understanding.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2016
ISSN: 0021-9045
DOI: 10.1016/j.jat.2015.11.005