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Nuclear spaces of maximal diametral dimension. (English) Zbl 0262.46013

MSC:
46A03 General theory of locally convex spaces
46A45 Sequence spaces (including Köthe sequence spaces)
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
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References:
[1] C. Bessaga , A. Pełczyński and S. Rolewicz [1] On diametral approximative dimension and linear homogeneity of F-spaces , Bull. Acad. Polon. Sci. 9 (1961) 677-683. · Zbl 0109.33502
[2] J. Diestel , S.A. Morris and S.A. Saxon [2] Varieties of locally convex topological vector spaces , Bull. AMS 77 (1971) 799-803. · Zbl 0219.46002 · doi:10.1090/S0002-9904-1971-12811-2
[3] A. Grothendieck [3] Produits tensoriels topologiques et espaces nucléaires , Memoirs AMS 16 (1955) · Zbl 0123.30301
[4] J. Horvath [4] Topological vector spaces and distributions , Addison-Wesley, Reading, Mass., 1966 · Zbl 0143.15101
[5] A. Martineau [5] Sur une propriété universelle de l’espace des distributions de M. Schwartz , C. R. Acad. Sci. Paris, 259 (1964) 3162-3164. · Zbl 0134.31702
[6] B. Rosenberger [6] \oslash -nukleare Räume , Math. Nachr. 52 (1972) 147-160. · Zbl 0207.42602 · doi:10.1002/mana.19720520112
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