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We prove that minimal projections from (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.
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 -