Chattopadhyay, Arup and Sain, Debmalya and Senapati, Tanusri (2019) characterization of symmetric points in l(p)(n)-spaces. In: LINEAR & MULTILINEAR ALGEBRA .
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Official URL: https://dx.doi.org/10.1080/03081087.2019.1702916
Abstract
We characterize the left-symmetric points as well as the right-symmetric points in the sense of Birkhoff-James orthogonality, of the Banach spaces ln p (1 = p=8). As an application of our study, we produce an elementary proof of the well-known result: T is an isometry on ln p (p = 1, 2,8) if and only if T is a signed permutation. This illustrates the pivotal role played by the set of left-symmetric points in determining the isometry group of a given Banach space.
| Item Type: | Journal Article |
|---|---|
| Publication: | LINEAR & MULTILINEAR ALGEBRA |
| Publisher: | TAYLOR & FRANCIS LTD |
| Additional Information: | Copyright of this article belongs to TAYLOR & FRANCIS LTD, 2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND |
| Keywords: | BIRKHOFF-JAMES ORTHOGONALITY; OPERATORS |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 20 Jan 2020 06:23 |
| Last Modified: | 20 Jan 2020 06:23 |
| URI: | http://eprints.iisc.ac.in/id/eprint/64288 |
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