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- W3198514664 abstract "In this paper, we extend the investigations regarding Birkhoff-James orthogonality of linear operators to bounded continuous functions on metric spaces. We introduce Birkhoff-James extensions of continuous functions and study them in detail, in the separate contexts of compact and non-compact metric spaces. We conclude by discussing an application of our ideas to the study of Birkhoff-James orthogonality in $C(X)$ with the supremum norm, where $X$ is a compact metric space." @default.
- W3198514664 created "2021-09-13" @default.
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- W3198514664 date "2021-08-28" @default.
- W3198514664 modified "2023-09-26" @default.
- W3198514664 title "Birkhoff-James extensions of continuous functions on metric spaces" @default.
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