Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Multilinear mappings of nuclear and integral type


Author: Raymundo Alencar
Journal: Proc. Amer. Math. Soc. 94 (1985), 33-38
MSC: Primary 47B10; Secondary 46B22, 46G99, 47D15
DOI: https://doi.org/10.1090/S0002-9939-1985-0781051-6
MathSciNet review: 781051
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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


References [Enhancements On Off] (What's this?)

  • [1] R. Alencar, Aplicaçoes nucleares e integrais e a propiedade de Radon Nikodym, Thesis, Univ. de Såo Paulo, 1982.
  • [2] S. Dineen, Complex analysis in locally convex spaces, North-Holland, Amsterdam, 1981. MR 640093 (84b:46050)
  • [3] J. Diestel and J. Uhl, Vector measures, Math. Surveys, Amer. Math. Soc., vol. 15, Providence, R.I., 1977. MR 0453964 (56:12216)
  • [4] N. Dunford and J. T. Schwartz, Linear operators. I, Interscience, New York, 1957.
  • [5] G. Edgar, Measurability in a Banach space, Indiana Univ. Math. J. 26 (1977), 663-677. MR 0487448 (58:7081)
  • [6] T. Figel and W. Johnson, The approximation property does not imply the bounded approximation property, Proc. Amer. Math Soc. 41 (1973), 197-200. MR 0341032 (49:5782)
  • [7] A. Pietsch, Nuclear locally convex spaces, Springer, Berlin, 1972. MR 0350360 (50:2853)
  • [8] L. Schwartz. Proprietė de Radon Nikodym, Sėminaire Maurey-Schwartz 1974-1975, Exposé N$ ^\circ$. V-VI. MR 0500143 (58:17840)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47B10, 46B22, 46G99, 47D15

Retrieve articles in all journals with MSC: 47B10, 46B22, 46G99, 47D15


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0781051-6
Article copyright: © Copyright 1985 American Mathematical Society

American Mathematical Society