Abstract
Let λ and μ be sequence spaces and have both the signed-weak gliding hump property, (λ, μ) the algebra of the infinite matrix operators which transform λ into μ. In this paper, it is proved that if λ and μ are β-spaces and λ β and μ β have also the signed-weak gliding hump property, then for any polar topology τ, ((λ, μ), τ) is always sequentially complete locally convex topological algebra.
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This research is partly supported by the NSF of Hei Longjiang.
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Junde, W. A class of infinite matrix topological algebras. Appl. Math. Chin. Univ. 15, 399–402 (2000). https://doi.org/10.1007/s11766-000-0036-1
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DOI: https://doi.org/10.1007/s11766-000-0036-1