Approximate Identities in Algebras of Compact Operators on Frechet Spaces

  • Semiu A. Ayinde Basic Sciences Department, Babcock University, Ilishan-Remo, Ogun State, Nigeria.
DOI: https://doi.org/10.52968/28305203
Keywords: Algebra of compact operators, bounded compact approximation property, Frechet spaces, locally bounded approximate identity

Abstract

Bounded approximate identity(bai) is a key concept in the theory of amenability of algebras. In this paper, we show that algebra of compact operators on Frechet space X has both the
right and left locally bounded approximate identities. Sufficient conditions for the existence of these identities are established based on the geometry properties of the Frechet space X and
its dual space X' respectively.

Published
2022-03-20
How to Cite
Ayinde, S. A. (2022). Approximate Identities in Algebras of Compact Operators on Frechet Spaces. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 7(2), 129 - 139. https://doi.org/10.52968/28305203
Issue
Vol 7 No 2 (2021)
Section
Articles

Copyright (c) 2022 Semiu A. Ayinde

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