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Published in:
2012 | OriginalPaper | Chapter
Chalmers–Metcalf Operator and Uniqueness of Minimal Projections in ℓ n ∞ and ℓ n 1 Spaces
Author : Lesław Skrzypek
Published in: Approximation Theory XIII: San Antonio 2010
Publisher: Springer New York
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We construct the Chalmers–Metcalf operator for minimal projections onto hyperplanes in
ℓ
∞
n
and
ℓ
1
n
and prove it is uniquely determined. We show how we can use Chalmers–Metcalf operator to obtain uniqueness of minimal projections. The main advantage of our approach is that it is purely algebraical and does not require consideration of the min–max problems.