References
Buntinas, M.: On Toeplitz sections in sequence spaces. Math. Proc. Camb. Phil. Soc.78, 451–460 (1975)
Chillingworth, H.R.: Generalized “dual” sequence spaces. Nederl. Akad. Wet. Proc., Ser. A61, 307–315 (1958)
Garling, D.J.H.: On topological sequence spaces. Proc. Camb. Phil. Soc.63, 987–1019 (1967)
Garling, D.J.H.: The β- and γ-duality of sequence spaces. Proc. Camb. Phil. Soc.63, 963–981 (1967)
Kadec, M.I.: Bases and their spaces of coefficients (Ukrainian). Akad. Nauk Ukr. RSR9, 1139–1141 (1964)
Köthe, G.: Neubegründung der Theorie der vollkommenen Räume. Math. Nachr.4, 70–80 (1951)
Köthe, G.: Topological vector spaces. Berlin, Heidelberg, New York: Springer 1969
Köthe, G., Toeplitz, O.: Lineare Räume mit unendlich vielen Koordinaten und Ringe unendlicher Matrizen. J. reine angew. Math.171, 193–226 (1934)
Matthews, G.: Generalised rings of infinite matrices. Nederl. Akad. wet. Proc. Ser., Ser. A67, 298–306 (1958)
McGivney, R.J., Ruckle, W.: Multiplier algebras of biorthogonal systems. Pac. J. Math.29, 375–387 (1969)
Meyers, G.: On Toeplitz sections in FK-spaces. Studia Math.51, 24–33 (1974)
Ruckle, W.: Topologies on sequence spaces. Pac. J. Math.42, 234–249 (1972)
Ruckle, W.: Representation and series summability of complete biorthogonal sequences. Pac. J. Math.34, 511–528 (1970)
Schaefer, H.H.: Topological vector spaces. New York, Heidelberg, Berlin: Springer 1970
Wilansky, A.: Functional analysis. New York: Blaisdale 1964
Yamazaki, S.: Normed rings and bases in Banach spaces. Sci. Papers of the College of General Education. University of Tokyo15, 1–13 (1965)
Zeller, K.: Abschnittskonvergenz in FK-Räumen. Math. Z.55, 55–70 (1951)
Zeller, K.: Allgemeine Eigenschaften von Limitierungsverfahren. Math. Z.53, 463–487 (1951)
Zeller, K.: Theorie der Limitierungsverfahren. Berlin, Heidelberg, New York: Springer 1970
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Ruckle, W.H. A universal topology for sequence spaces. Math. Ann. 236, 43–48 (1978). https://doi.org/10.1007/BF01420255
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DOI: https://doi.org/10.1007/BF01420255