Characterization of subspaces and quotients of nuclear $L_f(\alpha ,\infty )$-spaces

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1. [1] H. Ahonen: On nuclear Köthe spaces defined by Dragilev functions. Ann. Acad Sci. Fenn. Ser AI, Diss. 38 (1981). Zbl0483.46009MR640318
2. [2] M. Alpseymen: Basic sequences in some nuclear Köthe sequence spaces. Thesis, University of Michigan, 1978. 
3. [3] H. Apiola: Every nuclear Fréchet space is a quotient of a Köthe Schwartz space. Arch. Math.35 (1980) 559-573. Zbl0437.46004MR604256
4. [4] E. Dubinsky: Infinite type power series subspaces of finite type power series spaces. Israel J. Math. 15 (1973) 257-281. Zbl0265.46016MR346483
5. [5] E. Dubinsky: Infinite type power series subspaces of infinite type power series spaces. Israel J. Math.20 (1975) 359-368. Zbl0308.46013MR388038
6. [6] E. Dubinsky: Basic sequences in (s). Studia Math.59 (1977) 283-293. Zbl0349.46010MR435790
7. [7] E. Dubinsky: Basic sequences in a stable finite type power series space. Studia Math. Zbl0476.46009MR599141
8. [8] E. Dubinsky: The structure of nuclear Fréchet spaces, Berlin- Heidelberg-New York, Springer Lecture Notes in Mathematics 720, 1979. Zbl0403.46005MR537039
9. [9] E. Dubinsky and W. Robinson: Quotient spaces of (s) with basis. Studia Math. 63 (1977) 39-53. Zbl0393.46012MR515496
10. [10] M.M. Dragilev: On regular bases in nuclear spaces. Amer. Math. Soc. Transl. (2) 93 (1970) 61-82(Engl. translation of Math. Sb.68 (110) (1965) 153-173. Zbl0206.11905MR192310
11. [11] G. Köthe: Topological vector spaces I. Berlin- Heidelberg-New York, Springer1969. Zbl0179.17001
12. [12] A. Pietsch: Nuclear locally convex spaces. Berlin- Heidelberg-New York, Springer1972. Zbl0236.46001MR350360
13. [13] M.S. Ramanujan and B. Rosenberger: On λ(ø, P)-nuclearity. Comp. Math.34 (1977) 113-125. Zbl0347.46001
14. [14] T. Terzioglu: Die diametrale Dimension von lokalkonvexen Räumen. Collect. Math.20 (1969) 49-99. Zbl0175.41602MR253016
15. [15] D. Vogt: Charakterisierung der Unterräume von s. Math. Z.155 (1977) 109-117. Zbl0337.46015MR463885
16. [16] D. Vogt: Subspaces and quotient spaces of (s). Functional Analysis, Surveys and Recent Results (Proc. Conf. Paderborn 1976), 167-187North-Holland1977. Zbl0373.46016MR625306
17. [17] D. Vogt: Charakterisierung der Unterräume eines nucklearen stabilen Potenreihenraumes von endlichem Typ. To appear in Studia Math. Zbl0539.46009MR667314
18. [18] D. Vogt: Eine Charakterisierung der Potenzreihenräume von endlichem Typ und ihre Folgerungen. Preprint. Zbl0512.46003MR657522
19. [19] D. Vogt and M.J. Wagner: Charakterisierung der Quotientenräume von s, To appear in Studia Math. 
20. [20] D. Vogt and M.J. Wagner: Charakterisierung der Unterräume und Quotientenräume der nuklearen stabilen Potenzreihenräumen von unendlichem Typ. To appear in Studia Math. Zbl0402.46008MR646960
21. [21] M.J. Wagner: Unterräume und Quotienten von Potenzreihenräumen. Dissertation, Wuppertal 1977. Zbl0456.46007
22. [22] M.J. Wagner: Quotientenräume von stabilen Potenzreihenräumen endlichem Typs. Manuscripta Math.31 (1980) 97-109. Zbl0453.46010MR576492

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