A note on best approximation and invertibility of operators on uniformly convex Banach spaces

DOI10.1155/S0161171291000832zbMath0744.47001OpenAlexW2028634700MaRDI QIDQ1178805

James R. Holub

Publication date: 26 June 1992

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46680

zbMATH Keywords

uniformly convex Banach spacebounded linear operatorsunique best approximationinverses of linear operatorssufficient condition for invertibility

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Uniqueness of best approximation (41A52)

Related Items (1)

Nonlinear version of Holub's theorem and its application

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