References
C. Bessaga, Nuclear Fréchet spaces without bases. I. Variation on a theme of Djakov and Mitiagin. Bull. Acad. Polon Sci. Sér. Sci. Math. Astr. Phys. (7)24, 471–474 (1976).
E. Dubinsky, Completemented basic sequences in nuclear Fréchet spaces with finite-dimensional decompositions. Arch. Math.38, 138–150 (1982).
E. Dubinsky andL. Holmström, Nuclear Fréchet spaces with locally round finite-dimensional decompositions. Monatsh. Math. (4)97, 257–275 (1984).
K.Nyberg, On subspaces of products of nuclear Fréchet spaces. Ann. Acad. Sci. Fenn. Ser. A I Math. Dissertationes31 (1980).
E. Odell, Applications of Ramsey theorems to Banach space theory. Notes in Banach spaces (ed. H. Lacey). University of Texas Press, Austin-London, 379–404 (1980).
M. S. Ramanujan andE. Schock, Nuclearity, bases and finite dimensional decompositions. J. Indian Math. Soc.46, 91–100 (1982).
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Ketonen, T., Nyberg, K. The Ramsey theorem and complemented basic sequences in Fréchet spaces with absolute finite-dimensional decompositions. Arch. Math 53, 399–404 (1989). https://doi.org/10.1007/BF01195221
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DOI: https://doi.org/10.1007/BF01195221