@article{CM_1983__50_1_65_0, author = {Apiola, Heikki}, title = {Characterization of subspaces and quotients of nuclear $L_f (\alpha ,\infty )$-spaces}, journal = {Compositio Mathematica}, pages = {65--81}, publisher = {Martinus Nijhoff Publishers}, volume = {50}, number = {1}, year = {1983}, zbl = {0528.46003}, language = {en}, url = {http://archive.numdam.org/item/CM_1983__50_1_65_0/} }
TY - JOUR AU - Apiola, Heikki TI - Characterization of subspaces and quotients of nuclear $L_f (\alpha ,\infty )$-spaces JO - Compositio Mathematica PY - 1983 SP - 65 EP - 81 VL - 50 IS - 1 PB - Martinus Nijhoff Publishers UR - http://archive.numdam.org/item/CM_1983__50_1_65_0/ LA - en ID - CM_1983__50_1_65_0 ER -
Apiola, Heikki. Characterization of subspaces and quotients of nuclear $L_f (\alpha ,\infty )$-spaces. Compositio Mathematica, Tome 50 (1983) no. 1, pp. 65-81. http://archive.numdam.org/item/CM_1983__50_1_65_0/
[1] On nuclear Köthe spaces defined by Dragilev functions. Ann. Acad Sci. Fenn. Ser AI, Diss. 38 (1981). | MR | Zbl
:[2] Basic sequences in some nuclear Köthe sequence spaces. Thesis, University of Michigan, 1978.
:[3] Every nuclear Fréchet space is a quotient of a Köthe Schwartz space. Arch. Math. 35 (1980) 559-573. | MR | Zbl
:[4] Infinite type power series subspaces of finite type power series spaces. Israel J. Math. 15 (1973) 257-281. | MR | Zbl
:[5] Infinite type power series subspaces of infinite type power series spaces. Israel J. Math. 20 (1975) 359-368. | MR | Zbl
:[6] Basic sequences in (s). Studia Math. 59 (1977) 283-293. | MR | Zbl
:[7] Basic sequences in a stable finite type power series space. Studia Math. | MR | Zbl
:[8] The structure of nuclear Fréchet spaces, Berlin- Heidelberg-New York, Springer Lecture Notes in Mathematics 720, 1979. | MR | Zbl
:[9] Quotient spaces of (s) with basis. Studia Math. 63 (1977) 39-53. | MR | Zbl
and :[10] 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. | MR | Zbl
:[11] Topological vector spaces I. Berlin- Heidelberg-New York, Springer 1969. | Zbl
:[12] Nuclear locally convex spaces. Berlin- Heidelberg-New York, Springer 1972. | MR | Zbl
:[13] On λ(ø, P)-nuclearity. Comp. Math. 34 (1977) 113-125. | EuDML | Numdam | Zbl
and :[14] Die diametrale Dimension von lokalkonvexen Räumen. Collect. Math. 20 (1969) 49-99. | EuDML | MR | Zbl
:[15] Charakterisierung der Unterräume von s. Math. Z. 155 (1977) 109-117. | EuDML | MR | Zbl
:[16] Subspaces and quotient spaces of (s). Functional Analysis, Surveys and Recent Results (Proc. Conf. Paderborn 1976), 167-187 North-Holland 1977. | MR | Zbl
:[17] Charakterisierung der Unterräume eines nucklearen stabilen Potenreihenraumes von endlichem Typ. To appear in Studia Math. | EuDML | MR | Zbl
:[18] Eine Charakterisierung der Potenzreihenräume von endlichem Typ und ihre Folgerungen. Preprint. | MR | Zbl
:[19] Charakterisierung der Quotientenräume von s, To appear in Studia Math.
and :[20] Charakterisierung der Unterräume und Quotientenräume der nuklearen stabilen Potenzreihenräumen von unendlichem Typ. To appear in Studia Math. | EuDML | MR | Zbl
and :[21] Unterräume und Quotienten von Potenzreihenräumen. Dissertation, Wuppertal 1977. | Zbl
:[22] Quotientenräume von stabilen Potenzreihenräumen endlichem Typs. Manuscripta Math. 31 (1980) 97-109. | EuDML | MR | Zbl
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