Article PDF
Avoid common mistakes on your manuscript.
References
Amemiya, I., Shiga, K.: On tensor products of Banach spaces. Kodai Math. Seminar Reports9, 161–176 (1957).
Chevet, S.: Sur certains produits tensoriels topologiques d'espaces de Banach. C. R. Acad. Sc. Paris, t.266, 1968.
Cohen, J.: Absolutelyp-summing,p-nuclear operators and their conjugates. Dissertation, Univ. of Md., College Park, Md., Jan. 1970.
Cohen, J.: A Characterization of inner product spaces using absolutely 2-summing operators. Studia Math.38, 271–276 (1970).
Grothendieck, A.: Produits tensoriels topologiques et espaces nucléaires. Memoires Amer. Math. Soc.16 (1955).
Grothendieck, A.: Résumé de la théorie métrique des produits tensoriels topologiques. Bol. Soc. Mat. São Paulo8, 1–79 (1956).
Grothendieck, A.: Sur certaines classes de suites dans les espaces de Banach et le théorème de Dvoretzky-Rogers. Boletim Soc. Mat. São Paulo8, 81–110 (1956).
Kwapień, S.: A linear topological characterization of inner-product spaces. Studia Math.38, 271–278 (1970).
Lindenstrauss, J., Pełczyński, A.: Absolutely summing operators between ℒ p -spaces. Studia Math.29, 275–326 (1968).
Pełczyński, A.: A characterization of Hilbert-Schmidt operators. Studia Math.28, 355–360 (1967).
Persson, A.: On some properties ofp-integral andp-nuclear operators. Studia Math.33, 213–222 (1969).
Persson, A., Pietsch, A.:P-nukleare undp-integrale Abbildungen in Banachräumen. Studia Math.33, 19–62 (1969).
Pietsch, A.: Absolut summierende Abbildungen in lokalkonvexen Räumen. Math. Nachr.27, 77–103 (1963).
Pietsch, A.: Nukleare Lokalkonvexe Räume. Berlin: Akademie-Verlag 1965.
Pietsch, A.: Quasinukleare Abbildungen in normierten Räumen. Studia Math.28, 79–90 (1967).
Pietsch, A.: Absolutp-summierende Abbildungen in normierten Räumen. Studia Math.28, 333–353 (1967).
Pietsch, A.: Hilbert-Schmidt Abbildungen in Banach Räumen. Math. Nachr.37, 237–245 (1968).
Saphar, P.: Applications à puissance nucléaire et applications Hilbert-Schmidt dans les espaces de Banach. Ann. Ecole Sup.84, 113–152 (1966).
Saphar, P.: Produits tensoriels topologiques et classes d'applications linéaires. C.R. Acad. Sc. Paris266, 526–528 (1968).
Saphar, P.: Comparison de Normes des produits tensoriels d'espaces de Banach. Applications., C. R. Acad. Sc. Paris,266 (1968).
Schaefer, H.H.: Topological vector spaces. New York: Macmillan 1966.
Treves, F.: Topological vector spaces, distributions and kernels. New York: Academic Press 1967.
Author information
Authors and Affiliations
Additional information
This research is partially supported by National Science Foundation Grant GU-2601. This paper is based on the author's doctoral dissertation at the University of Maryland, January 1970.
Rights and permissions
About this article
Cite this article
Cohen, J.S. Absolutelyp-summing,p-nuclear operators and their conjugates. Math. Ann. 201, 177–200 (1973). https://doi.org/10.1007/BF01427941
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01427941