Bose, B and Roy, S and Sain, D (2023) Birkhoff-James orthogonality and its local symmetry in some sequence spaces. In: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 117 (3).
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Official URL: https://doi.org/10.1007/s13398-023-01420-y
Abstract
We study Birkhoff-James orthogonality and its local symmetry in some sequence spaces namely ℓp, for 1 ≤ p≤ ∞, p≠ 2 , c, c and c00. 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.
| Item Type: | Journal Article |
|---|---|
| Publication: | Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas |
| Publisher: | Springer-Verlag Italia s.r.l. |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Birkhoff-james orthogonality; James' orthogonality; Leave-symmetric point; Local symmetry; Onto isometry; Right-symmetric point; Smooth point; Symmetrics; Ultrafilters |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 01 Jun 2023 05:37 |
| Last Modified: | 01 Jun 2023 05:37 |
| URI: | https://eprints.iisc.ac.in/id/eprint/81542 |
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