Distance formulae and best approximation in the space of compact operators

DOI10.1016/j.jmaa.2021.125952zbMath1492.46014OpenAlexW4200554926MaRDI QIDQ2069794

Kallol Paul, Arpita Mal

Publication date: 21 January 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125952

zbMATH Keywords

Banach spacebest approximationlinear operatorsdistance formulae(approximate) Birkhoff-James orthogonality

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Linear spaces of operators (47L05)

Related Items (2)

Extreme points of the unit ball of \(\mathcal{L}(X)_w^\ast\) and best approximation in \(\mathcal{L}(X)_w\) ⋮ An Approximation Problem in the Space of Bounded Operators

Cites Work

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• Semi-Inner-Product Spaces
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• Birkhoff--James orthogonality to a subspace of operators defined between Banach spaces
• Classes of Semi-Inner-Product Spaces
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