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Note on compact sets of compact operators
on a reflexive and separable Banach space


Author: Fernando Galaz-Fontes
Journal: Proc. Amer. Math. Soc. 126 (1998), 587-588
MSC (1991): Primary 47B07, 46B99
DOI: https://doi.org/10.1090/S0002-9939-98-04285-3
MathSciNet review: 1443386
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Abstract | References | Similar Articles | Additional Information

Abstract: We give a criterion for a subset of the space of compact linear operators from a separable and reflexive Banach $X$ into a Banach space $Y$ to be compact.


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

  • 1. J. Dieudonné, Foundations of modern analysis, Pure and Applied Mathematics, Vol. X, Academic Press, New York-London, 1960. MR 0120319
  • 2. Walter Rudin, Functional analysis, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, 1973. McGraw-Hill Series in Higher Mathematics. MR 0365062
  • 3. Klaus Vala, On compact sets of compact operators, Ann. Acad. Sci. Fenn. Ser. A I No. 351 (1964), 9. MR 0169078

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Additional Information

Fernando Galaz-Fontes
Affiliation: Centro de Investigación en Matemáticas, A. P. 402, Guanajuato, Gto., C.P. 36000, Mexico
Email: galaz@fractal.cimat.mx

DOI: https://doi.org/10.1090/S0002-9939-98-04285-3
Received by editor(s): April 30, 1996
Received by editor(s) in revised form: August 26, 1996
Additional Notes: This work was partially supported by CONACyT
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society