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Charakterisierung der Unterräume von \((s)\). (German) Zbl 0337.46015


MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
46A03 General theory of locally convex spaces
46A19 Other “topological” linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.)

References:

[1] Bessaga, C.: Some remarks on Dragilev’s theorem. Studia math.31, 307-318 (1968) · Zbl 0182.45301
[2] Dragilev, M. M.: On Regular Bases in Nuclear Spaces. Amer. math. Soc. Translat., II. Ser.93, 61-82 (1970). (Engl. ?bersetzung von Mat. Sbornik, n. Ser.68 (110), 153-173 (1965)
[3] Dubinsky, E.: Basic Sequences in (s), Studia math.54, 283-293 (1977) · Zbl 0349.46010
[4] Grothendieck, A.: Produits tensoriels topologiques et espaces nucl?aires. Mem. Amer. math. Soc.16 (1955) · Zbl 0123.30301
[5] Komura, T., Komura, Y.: ?ber die Einbettung der nuklearen R?ume in(s) A. Math. Ann.162, 284-288 (1966) · Zbl 0156.13402 · doi:10.1007/BF01360917
[6] Martineau, A.: Sur une propriet? universelle de l’espace des distributions de M. Schwartz. C. r. Acad. Sci., Paris259, 3162-3164 (1964) · Zbl 0134.31702
[7] Pietsch, A.: Nukleare lokalkonvexe R?ume. Berlin: Akademie-Verlag 1969 · Zbl 0184.14602
[8] Vogt, D.: Vektorwertige Distributionen als Randverteilungen holomorpher Funktionen. Manuscripta math.17, 267-290 (1975) · Zbl 0349.46040 · doi:10.1007/BF01170313
[9] Vogt, D.: Tensorprodukte von (F)- mit (DF)-R?umen und ein Fortsetzungssatz. Preprint
[10] Wagner, M.J.: ?ber zwei spezielle Klassen von Stufenr?umen. Diplomarbeit, Mainz 1975
[11] Zahariuta, V.P.: On the isomorphism of cartesian products of locally convex spaces. Studia math.46, 201-221 (1973)
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