Mandal, K and Sain, D and Mal, A and Paul, K (2022) Norm attainment set and symmetricity of operators on �p2. In: Advances in Operator Theory, 7 (1).
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We study the norm attainment set and the minimum norm attainment set of an operator defined on �p2(R)(1<p<�). We obtain a complete description of the same from the point of view of cardinality. In particular, we establish the optimal bounds in both the cases. Whenever the operator is not a scalar multiple of an isometry, the upper bound is 4. Moreover, we obtain an upper bound for the norm of an operator on �p2(R)(1<p<�). We further prove that there is no non-zero left symmetric operator on �p2(C)(2�p<�). © 2021, Tusi Mathematical Research Group (TMRG).
| Item Type: | Journal Article |
|---|---|
| Publication: | Advances in Operator Theory |
| Publisher: | Birkhauser |
| Additional Information: | The copyright for this article belongs to Birkhauser |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 25 Nov 2021 11:29 |
| Last Modified: | 25 Nov 2021 11:29 |
| URI: | http://eprints.iisc.ac.in/id/eprint/70478 |
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