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Characterizations of precompact maps, Schwartz spaces and nuclear spaces. (English) Zbl 0209.14405

MSC:
46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
46A03 General theory of locally convex spaces
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[1] B. S. Brudovskiĭ, Associated nuclear topology, type \? mappings and strongly nuclear spaces, Dokl. Akad. Nauk SSSR 178 (1968), 271 – 273 (Russian).
[2] B. S. Brudovskiĭ, Type \? mappings of locally convex spaces, Dokl. Akad. Nauk SSSR 180 (1968), 15 – 17 (Russian).
[3] Klaus Floret and Joseph Wloka, Einführung in die Theorie der lokalkonvexen Räume, Lecture Notes in Mathematics, No. 56, Springer-Verlag, Berlin-New York, 1968 (German). · Zbl 0155.45101
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[9] Arne Persson and Albrecht Pietsch, \?-nukleare une \?-integrale Abbildungen in Banachräumen, Studia Math. 33 (1969), 19 – 62 (German). · Zbl 0189.43602
[10] Albrecht Pietsch, Nukleare lokalkonvexe Räume, Schriftenreihe der Institute Für Mathematik bei der Deutschen Akademie der Wissenschaften zu Berlin. Reihe A, Reine Mathematik, Heft 1, Akademie-Verlag, Berlin, 1965 (German). · Zbl 0152.32302
[11] Helmut H. Schaefer, Topological vector spaces, The Macmillan Co., New York; Collier-Macmillan Ltd., London, 1966. · Zbl 0141.30503
[12] François Trèves, Topological vector spaces, distributions and kernels, Academic Press, New York-London, 1967. · Zbl 0171.10402
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