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arXiv · 2205.11586

Birkhoff-James Orthogonality and Its Local Symmetry in Some Sequence Spaces

Babhrubahan Bose·Saikat Roy·Debmalya Sain
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Abstract

We study Birkhoff-James orthogonality and its local symmetry in some sequence spaces namely $\ell_p,$ for $1\leq p\leq\infty$, $p\neq2$, $c$, $c_0$ and $c_{00}$. Using the characterization of the local symmetry of Birkhoff-James orthogonality, we characterize isometries of each of these spaces onto itself and obtain the Banach-Lamperti theorem for onto operators on the sequence spaces.

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Babhrubahan Bose, Saikat Roy, Debmalya Sain. 2022-05-23. Birkhoff-James Orthogonality and Its Local Symmetry in Some Sequence Spaces. https://arxiv.org/abs/2205.11586

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