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Proceedings of the American Mathematical Society

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

 
 

 

Relatively open mappings


Author: Woo Young Lee
Journal: Proc. Amer. Math. Soc. 108 (1990), 93-94
MSC: Primary 47A05
DOI: https://doi.org/10.1090/S0002-9939-1990-0984804-6
MathSciNet review: 984804
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Abstract: A bounded linear operator on a Banach space which is one-one, dense and 'relatively almost open' must be invertible.


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

  • [1] S. K. Berberian, Lectures in functional analysis and operator theory, Springer-Verlag, New York, 1974. MR 0417727 (54:5775)
  • [2] R. E. Harte, Almost open mappings between normed spaces, Proc. Amer. Math. Soc. 90 (1984) 243-249. MR 727242 (85b:47024)
  • [3] -, Invertibility and singularity for bounded linear operators, Marcel Dekker, New York, 1988. MR 920812 (89d:47001)
  • [4] A. Wilansky, Modern methods in topological vector spaces, McGraw-Hill, New York, 1978. MR 518316 (81d:46001)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1990-0984804-6
Article copyright: © Copyright 1990 American Mathematical Society

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