Convex functions and approximate Birkhoff–James orthogonality

Author:

Chmieliński Jacek,Gryszka Karol,Wójcik Paweł

Abstract

AbstractFor the well developed notion of approximate Birkhoff-James orthogonality, in a real or complex normed linear space, we formulate a new characterization. It can be derived from other, already known, characterizations as well as obtained in a more elementary and direct way, on the basis of some simple inequalities for real convex functions.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Reference12 articles.

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5. Chmieliński, J.: Approximate Birkhoff-James orthogonality in normed linear spaces and related topics. In: Aron, R.M., Moslehian, M.S., Spitkovsky, I.M., Woerdeman, H.J. (eds.) Operator and Norm Inequalities and Related Topics, 303–320. Birkhäuser, Cham (2022)

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