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In this paper the structural properties of a bi-locally convex space arising out of a locally convex space with a Schauder decomposition are related with the types of the Schauder decomposition, and the applications of this study are investigated in the study of vector-valued sequence spaces.
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Gupta, M., Kamthan, P.K. & Das, N.R. Bi-Locally convex spaces and schauder decompositions. Annali di Matematica pura ed applicata 133, 267–284 (1983). https://doi.org/10.1007/BF01766021
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DOI: https://doi.org/10.1007/BF01766021