Diagonal nuclear maps in sequence spaces

1. Crofts, G.: Concerning perfect Frechet spaces and diagonal transformations. Math. Ann.182, 67–76 (1969).

   Google Scholar 

2. Gelbaum, B., Lamadrid, J. Gil de: Bases of tensor products of Banach spaces. Pacific J. of Math.11, 29–36 (1961).

   Google Scholar 

3. Grothendieck,A.: Produits tensorials topologiques et espaces nucleaires. Mem. Amer. Math. Soc.16 (1955).

4. —— Sur certaines classes de suites dans le espaces de Banach, et le theoreme de Dvoretzky-Rogers. Bol. Soc. Matem. Sao Paulo8, 80–92 (1956).

   Google Scholar 

5. Holub, J. R.: Hilbertian operators and reflexive tensor products (to appear in Pac. J. Math.).

6. Köthe, G.: Topologische lineare Räume, I. Berlin-Göttingen-Heidelberg: Springer 1960.

   Google Scholar 

7. Pietsch, A.: Nukleare lokalkonvexe Räume. Berlin: 1965.

8. Rosenthal, H.: On quasi-complemented subspaces of Banach spaces with an appendix on compactness of operators fromL ^p(μ) toL ^r(v), J. Functional Analysis4, 176–214 (1969).

   Google Scholar 

9. Tong, A.: Diagonal nuclear operators onl ^p spaces. Trans. Amer. Math. Soc. September 1969, 235–247.

Download references