Multilinear mappings of nuclear and integral type

Multilinear mappings of nuclear and integral type
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Proc. Amer. Math. Soc. 94 (1985), 33-38

DOI: https://doi.org/10.1090/S0002-9939-1985-0781051-6

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We define vector-valued multilinear mappings of nuclear and integral type and establish conditions for its coinciding spaces.

References

Aplicaçoes nucleares e integrais e a propiedade de Radon Nikodym

Seán Dineen, Complex analysis in locally convex spaces, Notas de Matemática [Mathematical Notes], vol. 83, North-Holland Publishing Co., Amsterdam-New York, 1981. MR 640093
J. Diestel and J. J. Uhl Jr., Vector measures, Mathematical Surveys, No. 15, American Mathematical Society, Providence, R.I., 1977. With a foreword by B. J. Pettis. MR 0453964

Linear operators

G. A. Edgar, Measurability in a Banach space, Indiana Univ. Math. J. 26 (1977), no. 4, 663–677. MR 487448, DOI 10.1512/iumj.1977.26.26053
T. Figiel and W. B. Johnson, The approximation property does not imply the bounded approximation property, Proc. Amer. Math. Soc. 41 (1973), 197–200. MR 341032, DOI 10.1090/S0002-9939-1973-0341032-5
Albrecht Pietsch, Nuclear locally convex spaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 66, Springer-Verlag, New York-Heidelberg, 1972. Translated from the second German edition by William H. Ruckle. MR 0350360
L. Schwartz, Propriété de Radon-Nikodým, Séminaire Maurey-Schwartz 1974–1975: Espaces $L^p$, applications radonifiantes et géométrie des espaces de Banach, Centre de Math., École Polytech., Paris, 1975, pp. Exp. No. V-VI, 26 pp. (erratum, p. 2) (French). MR 0500143