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Norm attainment set and symmetricity of operators on �p2

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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Official URL: https://doi.org/10.1007/s43036-021-00167-w

Abstract

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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