On non-primary Fréchet Schwartz spaces

 Access to full text

 Full (PDF)

1. [1] A. Albanese, Primary products of Banach spaces, Arch. Math. (Basel) 66 (1996), 397-405. Zbl0859.46003
2. [2] A. Albanese, Montel subspaces in Fréchet spaces of Moscatelli type, Glasgow Math. J., to appear. 
3. [3] A. Albanese and V. B. Moscatelli, The spaces ${\left({\ell }_p\right)}^{\mathbb{N}}\cap {\ell }_q\left({\ell }_q\right)$, 1 ≤ p < q ≤ ∞ are primary, preprint. 
4. [4] A. Albanese and V. B. Moscatelli, Complemented subspaces of sums and products of copies of $L^1[0,1]$, Rev. Mat. Univ. Complut. Madrid 9 (1996), 275-287. Zbl0885.46026
5. [5] A. Benndorf, On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces, Studia Math. 75 (1983), 103-119. Zbl0541.46002
6. [6] C. Bessaga, Geometrical methods of the theory of Fréchet spaces, in: Functional Analysis and its Applications, H. Hogbe-Nlend (ed.), World Sci., Singapore, 1988, 1-34. 
7. [7] K. D. Bierstedt, R. G. Meise and N. H. Summers, Köthe sets and Köthe sequence spaces, in: Functional Analysis, Holomorphy and Approximation Theory, North-Holland Math. Stud. 71, North-Holland, Amsterdam, 1982, 27-91. Zbl0504.46007
8. [8] J. Bonet and J. C. Díaz, On the weak quasinormability condition of Grothendieck, Tr. J. Math. 15 (1991), 154-164. Zbl0970.46527
9. [9] J. Bonet and S. Dierolf, Fréchet spaces of Moscatelli type, Rev. Mat. Univ. Complut. Madrid 2 (1989), 77-92. Zbl0757.46001
10. [10] J. M. F. Castillo, J. C. Díaz and J. Motos, On the Fréchet space $L_p^{-}$, preprint. 
11. [11] J. C. Díaz, Primariness of some universal Fréchet spaces, in: Functional Analysis, S. Dierolf, S. Dineen and P. Domański (eds.), de Gruyter, Berlin, 1996, 95-103. Zbl0905.46002
12. [12] J. C. Díaz and M. A. Miñarro, Universal Köthe sequence spaces, Monatsh. Math., to appear. 
13. [13] J. C. Díaz and S. Dineen, Polynomials on stable spaces, Ark. Mat., to appear. Zbl0929.46036
14. [14] S. Dineen, Complex Analysis in Locally Convex Spaces, North-Holland Math. Stud. 57, North-Holland, Amsterdam, 1981. Zbl0484.46044
15. [15] S. Dineen, Quasinormable spaces of holomorphic functions, Note Mat. 13 (1993), 155-195. Zbl0838.46036
16. [16] P. B. Djakov, M. Yurdakul and V. P. Zahariuta, Isomorphic classification of cartesian products of power series spaces, Michigan Math. J. 43 (1996), 221-229. Zbl0890.46008
17. [17] P. B. Djakov and V. P. Zahariuta, On Dragilev type power Köthe spaces, Studia Math. 120 (1996), 219-234. Zbl0864.46003
18. [18] P. Domański and A. Ortyński, Complemented subspaces of products of Banach spaces, Trans. Amer. Math. Soc. 316 (1989), 215-231. Zbl0693.46017
19. [19] P. Galindo, M. Maestre and P. Rueda, Biduality in spaces of holomorphic functions, preprint. Zbl0968.46026
20. [20] J. M. Isidro, Quasinormability of some spaces of holomorphic mappings, Rev. Mat. Univ. Complut. Madrid 3 (1990), 13-17. Zbl0709.46017
21. [21] H. Jarchow, Locally Convex Spaces, Teubner, Stuttgart, 1981. Zbl0466.46001
22. [22] G. Köthe, Topological Vector Spaces, I, Springer, New York, 1969. Zbl0179.17001
23. [23] G. Metafune and V. B. Moscatelli, Complemented subspaces of sums and products of Banach spaces, Ann. Mat. Pura Appl. 153 (1988), 175-190. Zbl0684.46026
24. [24] G. Metafune and V. B. Moscatelli, On the space ${\ell }_{p^{+}}={\cap }_{q>p}{\ell }_q$, Math. Nachr. 147 (1990), 47-52. 
25. [25] A. Peris, Quasinormable spaces and the problem of topologies of Grothendieck, Ann. Acad. Sci. Fenn. Ser. A I Math. 19 (1994), 167-203. Zbl0789.46006
26. [26] T. Terzioğlu and D. Vogt, A Köthe space which has a continuous norm but whose bidual does not, Arch. Math. (Basel) 54 (1990), 180-183. Zbl0724.46008
27. [27] V. P. Zahariuta, Linear topological invariants and their applications to isomorphic classification of generalized power spaces, Rostov. Univ., 1979 (in Russian); revised English version: Turkish J. Math. 20 (1996), 237-289. Zbl0866.46005