Multilinear mappings of nuclear and integral type

Multilinear mappings of nuclear and integral type
HTML articles powered by AMS MathViewer

by Raymundo Alencar PDF

Proc. Amer. Math. Soc. 94 (1985), 33-38 Request permission

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, Exp. No. V-VI, Centre Math., École Polytech., Paris, 1975, pp. 26 pp. (erratum, p. 2) (French). MR 0500143