Uniqueness of minimal projections onto two-dimensional subspaces

• Autorzy: Boris Shekhtman , Lesław Skrzypek
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 41A65: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 168
• Numer: 3
• Strony: 273-284

Daty

wydano

2005

Twórcy

autor

Boris Shekhtman

• Department of Mathematics, University of South Florida, 4202 E. Fowler Ave., PHY 114, Tampa, FL 33620-5700, U.S.A.

autor

Lesław Skrzypek

• Department of Mathematics, University of South Florida, 4202 E. Fowler Ave., PHY 114, Tampa, FL 33620-5700, U.S.A.

Identyfikatory

DOI

10.4064/sm168-3-6