References
Agnew, R.P.: Summability of power series. Am. Math. Mon.53, 251–259 (1946)
Bennett, G.: Sequence spaces with small β-duals. Math. Z.194, 321–329 (1987)
Bennett, G., Kalton, N.J.: Inclusion theorems for K-spaces. Can. J. Math.25, 511–524 (1973)
Boos, J.: Der induktive Limes von abzählbar vielen FH-Räumen. Vereinigungsverfahren. Manuscr. Math.21, 205–225 (1977)
Brown, H.I.: Entire methods of summation. Compos. Math.21, 35–42 (1969)
Chandrasekhara Rao, K.: Matrix transformations of some sequence spaces. Pac. J. Math.31, 171–174 (1969)
Chandrasekhara Rao, K.: Matrix transformations of some sequence spaces, II. Glasg. Math. J.11, 162–166 (1970)
Chandrasekhara Rao, K.: Matrix transformations of some sequence spaces, III. Boll. Unione Mat. Ital.5, 7–13 (1972)
Chandrasekhara Rao, K.: On the space of entire sequences. J. Indian Math. Soc.44, 281–283 (1980)
Choudhary, B., Somasundaram, D., Bhatia, S.: A note on FK-spaces containing Γ. Indian J. Pure Appl. Math.13, 341–347 (1982)
Fricke, G.H., Fridy, J.A.: Matrix summability of geometrically dominated series. Can. J. Math.39, 569–582 (1987)
Fricke, G.H., Fridy, J.A.: Sequence transformations that guarantee a given rate of convergence. Pac. J. Math.146, 239–246 (1990)
Fricke, G., Powell, R.E.: A theorem on entire methods of summation. Compos. Math.22, 253–259 (1970)
Gupta, M., Kamthan, P.K.: On matrix transformations. Period. Math. Hung.13, 325–328 (1982)
Haplanov, M.G.: Linear transformations of analytic spaces (in Russian). Dokl. Akad. Nauk SSSR80, 21–24 (1951)
Heller, I.: Contributions to the theory of divergent series. Pac. J. Math.2, 153–177 (1952)
Jacob, R.T.: Some matrix trnasformations on analytic sequence spaces. Pac. J. Math.59, 487–491 (1975)
Jacob, R.T.: Matrix transformations involving simple sequence spaces. Pac. J. Math.70, 179–187 (1977)
Kamthan, P.K., Gupta, M.: Sequence spaces and series. New York Basel: M. Dekker 1981
Köthe, G.: Über nukleare Folgenräume. Stud. Math.31, 267–271 (1968)
Köthe, G.: Topological vector spaces I: Berlin Heidelberg New York: Springer 1969
Köthe, G.: Nukleare (F)- und (DF)-Folgenräume. In: Asser, G., Flachsmeyer, J., Rinow, W. (eds.) Theory of sets and topology, pp. 327–332. Berlin: VEB Deutsch. Verlag Wissensch. 1972
Lascarides, C.G.: A study of certain sequence spaces of Maddox and a generalization of a theorem of Iyer. Pac. J. Math.38, 487–500 (1971)
Macphail, M.S.: Some theorems on absolute summability. Can. J. Math.3, 3896–390 (1951)
Maddox, I.J.: Operators on the generalized entire sequences. Proc. Cambridge Philos. Soc.71, 491–494 (1972)
Maddox, I.J., Willey, M.A.L.: Continuous operators on paranormed spaces and matrix transformations. Pac. J. Math.53, 217–228 (1974)
Raphael, L.A.: On a characterization of infinite complex matrices mapping the space of analytic sequences into itself. Pac. J. Math.27, 123–126 (1968)
Sheffer, I.M.: Systems of linear equations of analytic type. Duke Math. J.11, 167–180 (1944)
Stieglitz, M., Tietz, H.: Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht. Math. Z.154, 1–16 (1977)
Toeplitz, O.: Die linearen vollkommenen Räume der Funktionentheorie. Comment. Math. Helv.23, 222–242 (1949)
Tonne, P.C.: Matrix transformations on the power-series convergent on the unit disc. J. Lond. Math. Soc.4, 667–670 (1972)
Valdivia, M.: Topics in locally convex spaces. Amsterdam New York Oxford: North-Holland 1982
Wilansky, A.: Summability through functional analysis. Amsterdam New York Oxford: North-Holland 1984
Zeller, K.: Transformationen des Durchschnitts und der Vereinigung von Folgenräumen. Math. Nachr.10, 175–177 (1953)
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Grosse-Erdmann, KG. Matrix transformations involving analytic sequence spaces. Math Z 209, 499–510 (1992). https://doi.org/10.1007/BF02570849
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DOI: https://doi.org/10.1007/BF02570849