Uniqueness of minimal projections onto two-dimensional subspaces

Boris Shekhtman; Lesław Skrzypek

Studia Mathematica (2005)

  • Volume: 168, Issue: 3, page 273-284
  • ISSN: 0039-3223

Abstract

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We prove that minimal projections from L p (1 < p < ∞) onto any two-dimensional subspace are 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.

How to cite

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Boris Shekhtman, and Lesław Skrzypek. "Uniqueness of minimal projections onto two-dimensional subspaces." Studia Mathematica 168.3 (2005): 273-284. <http://eudml.org/doc/285071>.

@article{BorisShekhtman2005,
abstract = {We prove that minimal projections from $L_\{p\}$ (1 < p < ∞) onto any two-dimensional subspace are 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.},
author = {Boris Shekhtman, Lesław Skrzypek},
journal = {Studia Mathematica},
keywords = {approximation theory; minimal projections; uniqueness of minimal projections},
language = {eng},
number = {3},
pages = {273-284},
title = {Uniqueness of minimal projections onto two-dimensional subspaces},
url = {http://eudml.org/doc/285071},
volume = {168},
year = {2005},
}

TY - JOUR
AU - Boris Shekhtman
AU - Lesław Skrzypek
TI - Uniqueness of minimal projections onto two-dimensional subspaces
JO - Studia Mathematica
PY - 2005
VL - 168
IS - 3
SP - 273
EP - 284
AB - We prove that minimal projections from $L_{p}$ (1 < p < ∞) onto any two-dimensional subspace are 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.
LA - eng
KW - approximation theory; minimal projections; uniqueness of minimal projections
UR - http://eudml.org/doc/285071
ER -

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