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A result on equicontinuous sets of operators on nuclear Frechet spaces related to the bounded approximation property. (English) Zbl 0518.46003

MSC:

46A13 Spaces defined by inductive or projective limits (LB, LF, etc.)
46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
46A04 Locally convex Fréchet spaces and (DF)-spaces
46A50 Compactness in topological linear spaces; angelic spaces, etc.
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References:

[1] Bessaga, C., Peczy?ski, A., Rolewicz, S.: On diametral approximative dimension and linear homogeneity ofF-spaces. Bull. Acad. Polon. Sci.9, 677-682 (1961) · Zbl 0109.33502
[2] Eidelheit, M.: Zur Theorie der Systeme linearer Gleichungen. Studia Math.6, 139-148 (1936) · Zbl 0015.35603
[3] Grothendieck, A.: Produits tensoriels topologiques et espaces nucléaire. Mem. Am. Math. Soc.16 (1955)
[4] Johnson, W.B., Rosenthal, H.P., Zippin, M.: On bases, finite dimensional decompositions and weaker structures in Banach spaces. Israel J. Math.9, 488-506 (1971) · Zbl 0217.16103 · doi:10.1007/BF02771464
[5] Komura, T., Komura, Y.: Über die Einbettungen der nuklearen Räume in (s) A . Math. Ann.162, 284-288 (1966) · Zbl 0156.13402 · doi:10.1007/BF01360917
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