Volume 5 • Issue 2 • PP: 08-11 • 2023
A Study on Compact Operators in Locally K -Convex Spaces
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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In this paper we give an equivalent definition of continuous and compact linear operators by using orthogonal bases in non-archimedean locally K - convex spaces. We also show that if E is a space and F is a semi-Montel space, then every continuous linear operator T:E→F is compact.
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References
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