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• W2964095024 abstract "We study Birkhoff–James orthogonality of compact (bounded) linear operators between Hilbert spaces and Banach spaces. Applying the notion of semi-inner-products in normed linear spaces and some related geometric ideas, we generalize and improve some of the recent results in this context. In particular, we obtain a characterization of Euclidean spaces and also prove that it is possible to retrieve the norm of a compact (bounded) linear operator (functional) in terms of its Birkhoff–James orthogonality set. We also present some best approximation type results in the space of bounded linear operators." @default.
• W2964095024 created "2019-07-30" @default.
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• W2964095024 date "2020-03-01" @default.
• W2964095024 modified "2023-09-25" @default.
• W2964095024 title "Some remarks on Birkhoff–James orthogonality of linear operators" @default.
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• W2964095024 doi "https://doi.org/10.1016/j.exmath.2019.01.001" @default.
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