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Quotientenräume von stabilen Potenzreihenräumen endlichen Typs. (German) Zbl 0453.46010


MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
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.)
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References:

[1] DUBINSKY, E. Basic sequences in a stable finite type power series space, erscheint in Studia Math. · Zbl 0476.46009
[2] DUBINSKY, E.: Basic sequences in (s), Studia Math.59 (1977) Seite, 283-293 · Zbl 0349.46010
[3] DUBINSKY, E., ROBINSON W.: Quotient spaces of (s) with bases Studia Math.63 (1978) 267-281 · Zbl 0393.46012
[4] DUBINSKY, E., RAMANUJAN, M.S.: On ?-nuclearity, Mem. Amer. Math. Soc.128 (1972) · Zbl 0244.47015
[5] FENSKE, C., SCHOCK, E.: Über die diametrale Dimension von lokalkonvexen Räumen, GMD Bonn Nr.1o(b) (1969) · Zbl 0181.13203
[6] MITJAGIN B.S.: The equivalence of bases in Hilbert scales, Studia Math.37, (1970), 111-137 (russisch)
[7] PIETSCH, A.: Nukleare lokalkonvexe Räume, Berlin 1969 · Zbl 0184.14602
[8] ROBINSON, W.: On ?1(?)-nuclearity, Duke Math. J.40 (1973) 541-546 · Zbl 0269.46002 · doi:10.1215/S0012-7094-73-04048-9
[9] TERZIOGLU, T.: Die diametrale Dimension von lokalkonvexen Räumen, Collect. Math.20 (1969), 49-99 · Zbl 0175.41602
[10] VOGT D.: Charakterisierung der Unterräume von s, Math. Z.155 (1977), 109-117 · Zbl 0337.46015 · doi:10.1007/BF01214210
[11] VOGT, D.: Charakterisierung der Unterräume eines nuklearen stabilen Potenzreihenraumes von endlichem Typ, erscheint in Studia Math. · Zbl 0539.46009
[12] VOGT, D., WAGNER, M.J.: Charakterisierung der Quotientenräume von s und eine Vermutung von Martineau, erscheint in Studia Math. · Zbl 0464.46010
[13] VOGT, D., WAGNER, M.J.: Charakterisierung der Unterräume und Quotientenräume der nuklearen stabilen Potenzreihenräume von unendlichem Typ, erscheint in Studia Math. · Zbl 0402.46008
[14] WAGNER, M.J.: Unterräume und Quotienten von Potenzreihenräumen, Dissertation Wuppertal 1977 · Zbl 0456.46007
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