Extensions of linear operators from hyperplanes and strong uniqueness of best approximation in \(\mathcal{L}(X, W)\)

DOI10.1016/j.jat.2019.05.003zbMath1428.46013OpenAlexW2947008568MaRDI QIDQ2325023

Paweł Wójcik

Publication date: 12 September 2019

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2019.05.003

zbMATH Keywords

minimal extensionlinear operatorsminimal projectionstrongly unique best approximationstrongly unique minimal extension

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52)

Related Items (4)

From norm derivatives to orthogonalities in Hilbert C*-modules ⋮ Approximate orthogonality in normed spaces and its applications. II ⋮ Vertices of the unit ball of subspaces in \(\mathcal{L}(H)\) and strong unicity of best approximation in \(\mathcal{L}(l_2^2)\) ⋮ On best approximations to compact operators

Cites Work

• Codimension-one minimal projections onto Haar subspaces
• Gâteaux derivative of the norm in \(\mathcal{K}(X;Y)\)
• Codimension-one minimal extensions onto Haar subspaces
• On some geometric properties of suns
• BIRKHOFF ORTHOGONALITY IN CLASSICAL -IDEALS
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Orthogonality in normed linear spaces
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