Measures and tensors
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- by Jesús Gil de Lamadrid
- Trans. Amer. Math. Soc. 114 (1965), 98-121
- DOI: https://doi.org/10.1090/S0002-9947-1965-0179604-3
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References
- R. G. Bartle, A general bilinear vector integral, Studia Math. 15 (1956), 337–352. MR 80721, DOI 10.4064/sm-15-3-337-352
- R. G. Bartle, N. Dunford, and J. Schwartz, Weak compactness and vector measures, Canadian J. Math. 7 (1955), 289–305. MR 70050, DOI 10.4153/CJM-1955-032-1
- N. Bourbaki, Éléments de mathématique. XXV. Première partie. Livre VI: Intégration. Chapitre 6: Intégration vectorielle, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1281, Hermann, Paris, 1959 (French). MR 0124722
- Mahlon M. Day, Normed linear spaces, Reihe: Reelle Funktionen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0094675
- Nicolae Dinculeanu, Mesures vectorielles et opérations linéaires, C. R. Acad. Sci. Paris 246 (1958), 2328–2331 (French). MR 96771
- Nicolae Dinculeanu and Ciprian Foiaş, Mesures vectorielles et opérations linéaires sur $L_{E^{p}}$, C. R. Acad. Sci. Paris 248 (1959), 1759–1762 (French). MR 105006 N. Dunford and J. Schwartz, Linear operators, Vol. I, Interscience, New York, 1958.
- B. R. Gelbaum and J. Gil de Lamadrid, Bases of tensor products of Banach spaces, Pacific J. Math. 11 (1961), 1281–1286. MR 147881
- Jesús Gil de Lamadrid, On finite dimensional approximations of mappings in Banach spaces, Proc. Amer. Math. Soc. 13 (1962), 163–168. MR 138972, DOI 10.1090/S0002-9939-1962-0138972-1
- Alexandre Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16 (1955), Chapter 1: 196 pp.; Chapter 2: 140 (French). MR 75539
- A. Grothendieck, La théorie de Fredholm, Bull. Soc. Math. France 84 (1956), 319–384 (French). MR 88665
- Alexandra Ionescu Tulcea and Cassius Ionescu Tulcea, On the decomposition and integral representation of continuous linear operators, Ann. Mat. Pura Appl. (4) 53 (1961), 63–87. MR 124728, DOI 10.1007/BF02417786
- Alexandra Ionescu Tulcea and Cassius Ionescu Tulcea, On the lifting property. II. Representation of linear operators on spaces $L_{E^{r}},$ $1\leq r<\infty$, J. Math. Mech. 11 (1962), 773–795. MR 0145350
- R. S. Phillips, On linear transformations, Trans. Amer. Math. Soc. 48 (1940), 516–541. MR 4094, DOI 10.1090/S0002-9947-1940-0004094-3
- Robert Schatten, A Theory of Cross-Spaces, Annals of Mathematics Studies, No. 26, Princeton University Press, Princeton, N. J., 1950. MR 0036935
- Juljusz Schauder, Eine Eigenschaft des Haarschen Orthogonalsystems, Math. Z. 28 (1928), no. 1, 317–320 (German). MR 1544958, DOI 10.1007/BF01181164
- Ivan Zinger, Linear functionals on the space of continuous mappings of a compact Hausdorff space into a Banach space, Rev. Math. Pures Appl. 2 (1957), 301–315 (Russian). MR 96964
Bibliographic Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 114 (1965), 98-121
- MSC: Primary 46.20; Secondary 28.50
- DOI: https://doi.org/10.1090/S0002-9947-1965-0179604-3
- MathSciNet review: 0179604