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Bibliography
Cooke, R. G.: Linear operators. Spectral theory and some other applications. London: Macmillan 1953.
Dubinsky, E.: Perfect Fréchet spaces. Math. Ann.174, 186–194 (1967).
Dunford, N., and J. T. Schwartz: Linear operators. Part I: General theory. New York: Interscience 1958.
Grothendieck, A.: Sur les espaces (F) et (DF), Summa Brasil. Math.3, 57–123 (1954).
Köthe, G.: Die Stufenräume. Eine einfache Klasse linearer vollkommener Räume. Math. Z.51, 317–345 (1948).
—— Topologische lineare Räume, I. Berlin-Göttingen-Heidelberg: Springer 1960.
——, and O. Toeplitz: Lineare Räume mit unendlichvielen Koordinaten und Ringe unendlicher Matrizen. J. Reine Angew. Math.171, 193–226 (1934).
Kōmura, T., and Y. Kōmura: Sur les espaces parfaits de suites et leurs généralisations. M. Math. Soc. Japan15, 319–338 (1963).
Peressini, A. L.: Concerning the order structure of Köthe sequence spaces, II. Mich. Math. J.11, 357–364 (1964).
Pietsch, A.: Nukleare lokalkonvexe Räume. Akademie-Verlag Berlin 1965.
Schaefer, H. H.: Topological vector spaces. New York: Macmillan 1966.
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The author wishes to acknowledge the many helpful suggestions provided by his thesis advisor, Professor E. Dubinsky.
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Crofts, G. Concerning perfect Fréchet spaces and diagonal transformations. Math. Ann. 182, 67–76 (1969). https://doi.org/10.1007/BF01350165
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DOI: https://doi.org/10.1007/BF01350165