THE NUMERICAL RANGE OF AN ELEMENT OF A CLASS OF TOPOLOGICAL ALGEBRAS
Keywords:
multiplicative linear functional, numerical range, boundedness radius, β - subadditive algebrasAbstract
Kinani, Oubbi and Oudadess (1998) show that every unital and commutative locally convex algebra with a jointly continuous product is β - subadditive, for which β is the boundedness radius. In this paper we obtain some results on numerical range of an element in β - subadditive algebras. To do this, at first, we study the dual space of topological algebras for which the boundedness radius is finite. Furthermore, we prove some new results for linear and multiplicative linear functionals on a class of topological algebras.
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Published
2019-02-27
How to Cite
Ansari-Piri, E., & Sabet, M. (2019). THE NUMERICAL RANGE OF AN ELEMENT OF A CLASS OF TOPOLOGICAL ALGEBRAS. Italian Journal of Pure and Applied Mathematics, 41, 58–64. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7153
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Articoli - Forum Editrice
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Copyright (c) 2019 E. Ansari-Piri, M. Sabet
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
