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Norming points and unique minimality of orthogonal projections.

Shekhtman, Boris; Skrzypek, LesŁaw — 2006

Abstract and Applied Analysis

Uniqueness of minimal projections onto two-dimensional subspaces

Boris Shekhtman; Lesław Skrzypek — 2005

Studia Mathematica

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.

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