A generalization of the Riesz theory of completely continuous transformations
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- by Lawrence M. Graves PDF
- Trans. Amer. Math. Soc. 79 (1955), 141-149 Request permission
References
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S. Banach, Théorie des opérations linéaires, 1932.
- Friedrich Riesz, Über lineare Funktionalgleichungen, Acta Math. 41 (1916), no. 1, 71–98 (German). MR 1555146, DOI 10.1007/BF02422940
- T. H. Hildebrandt, Über vollstetige lineare Transformationen, Acta Math. 51 (1928), no. 1, 311–318 (German). MR 1555265, DOI 10.1007/BF02545664 J. Schauder, Über lineare vollstetìge Funktionaloperationen, Studia Mathematica vol. 2 (1930) pp. 183-196.
- Laurent Schwartz, Homomorphismes et applications complètement continues, C. R. Acad. Sci. Paris 236 (1953), 2472–2473 (French). MR 57457
Additional Information
- © Copyright 1955 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 79 (1955), 141-149
- MSC: Primary 46.2X
- DOI: https://doi.org/10.1090/S0002-9947-1955-0072438-3
- MathSciNet review: 0072438