$L^p$-convolution operators and tensor products of Banach spaces
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- by John E. Gilbert PDF
- Bull. Amer. Math. Soc. 80 (1974), 1127-1132
References
-
1. P. Eymard, Algèbres A, Séminaire Bourbaki: 1969/70, Exposé 367.
2. J. E. Gilbert, Tensor products of Banach spaces and norm ideals of operators, Lecture notes, Universität Heidelberg, 1973.
3. J. E. Gilbert, L. I, II, III (submitted for publication).
- Y. Gordon, D. R. Lewis, and J. R. Retherford, Banach ideals of operators with applications, J. Functional Analysis 14 (1973), 85–129. MR 0380488, DOI 10.1016/0022-1236(73)90031-1
- A. Grothendieck, Résumé de la théorie métrique des produits tensoriels topologiques, Bol. Soc. Mat. São Paulo 8 (1953), 1–79 (French). MR 94682
- Carl Herz, The theory of $p$-spaces with an application to convolution operators, Trans. Amer. Math. Soc. 154 (1971), 69–82. MR 272952, DOI 10.1090/S0002-9947-1971-0272952-0
- Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. II: Structure and analysis for compact groups. Analysis on locally compact Abelian groups, Die Grundlehren der mathematischen Wissenschaften, Band 152, Springer-Verlag, New York-Berlin, 1970. MR 0262773
- Jean-Thierry Lapresté, Sur une généralisation de la notion d’opérateurs nucléaires et sommants dans les espaces de Banach, C. R. Acad. Sci. Paris Sér. A-B 275 (1972), A45–A48 (French). MR 303330
- J. Lindenstrauss and A. Pełczyński, Absolutely summing operators in $L_{p}$-spaces and their applications, Studia Math. 29 (1968), 275–326. MR 231188, DOI 10.4064/sm-29-3-275-326
- Haskell P. Rosenthal, On subspaces of $L^{p}$, Ann. of Math. (2) 97 (1973), 344–373. MR 312222, DOI 10.2307/1970850
- N. Th. Varopoulos, Tensor algebras and harmonic analysis, Acta Math. 119 (1967), 51–112. MR 240564, DOI 10.1007/BF02392079
- N. Th. Varopoulos, Tensor algebras over discrete spaces, J. Functional Analysis 3 (1969), 321–335. MR 0250087, DOI 10.1016/0022-1236(69)90046-9
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 1127-1132
- MSC (1970): Primary 43A22, 46J10; Secondary 43A15, 43A20, 47D15, 46B10
- DOI: https://doi.org/10.1090/S0002-9904-1974-13642-6
- MathSciNet review: 0394048