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Approximate Identities in Algebras of Compact Operators on Frechet Spaces

Semiu A. Ayinde


Bounded approximate identity(bai) is a key concept in the theory of amenability of algebras. In this paper, we show that algebra of compact operatorsĀ  on Frechet space X has both the right and left locally bounded approximate identities. Sufficient conditions for the existence of these identities areĀ  established based on the geometry properties of the Frechet space X and its dual space X0 respectively.

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eISSN: 2814-0230