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Die Universalität des Raumes \(c_0\) für die Klasse der Schwartz-Räume. (German) Zbl 0242.46032


MSC:

46A03 General theory of locally convex spaces
46F05 Topological linear spaces of test functions, distributions and ultradistributions
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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References:

[1] Berezanskň, I. A.: Inductively reflexive, locally convex spaces. Dokl. Akad. Nauk SSSR182, 20–22 (1968). Engl. Übersetzung in Soviet Math. Dokl.9. 1080–1082 (1968).
[2] Diestel, J., Morris, S. A., Saxon, S. A.: Varieties of linear topological spaces. Trans. Amer. Math. Soc.171, (1972). · Zbl 0252.46001
[3] Horváth, J.: Topological vector spaces and distributions I. Reading, Mass.: Addison-Wesley 1966.
[4] Jarchow, H.: Dualität und Marinescu-Räume. Math. Ann.182, 134–144 (1969). · Zbl 0175.41502
[5] Jarchow, H.: Duale Charakterisierungen und Schwartz-Räume. Math. Ann.196, 85–90 (1972). · Zbl 0225.46007
[6] Jarchow, H.: Barrelledness and Schwartz spaces. Math. Ann.200, 241–252 (1973). · Zbl 0234.46003
[7] Kōmura, T., Kōmura, Y.: Über die Einbettung der nuklearen Räume in (s) A . Math. Ann.162, 284–288 (1966). · Zbl 0156.13402
[8] Ra \[ \(\backslash\)overset\{\(\backslash\)lower0.5em\(\backslash\)hbox\{\(\smash{\scriptscriptstyle\smile}\)\}\}\{\(\backslash\)imath \} \] kov, D. A.: Einige Eigenschaften vollstetiger linearer Operatoren (russisch). Ucen. Zap. Moscov Gos. Ped. Inst. im. V. I. Lenina188, 171–191 (1962).
[9] Schaefer, H. H.: Topological vector spaces (3. ed.). Berlin-Heidelberg-New York: Springer 1971. · Zbl 0212.14001
[10] Terzio \[ \(\backslash\)overset\{\(\backslash\)lower0.5em\(\backslash\)hbox\{\(\smash{\scriptscriptstyle\smile}\)\}\}\{g\} \] lu, T.: On Schwartz spaces. Math. Ann.182, 236–242 (1969).
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