On the bounded closure of the range of an operator
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- by Robin Harte and Woo Young Lee PDF
- Proc. Amer. Math. Soc. 125 (1997), 2313-2318 Request permission
Abstract:
The “bounded closure of the range" of an operator between two normed spaces is a linear subspace lying between the range and its closure. The induced concept of “almost onto" is a sort of first draft of the concept of “almost open".References
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Additional Information
- Robin Harte
- Affiliation: School of Mathematics, Trinity College, Dublin, Ireland
- Email: rharte@maths.tcd.ie
- Woo Young Lee
- Affiliation: Department of Mathematics, Sung Kwan University, Suwon 440-746, Korea
- MR Author ID: 263789
- Email: wylee@yurim.skku.ac.kr
- Received by editor(s): August 22, 1995
- Received by editor(s) in revised form: February 1, 1996
- Additional Notes: The second author was supported by KOSEF grants 941-0100-028-2 and 94-0701-02-01-3.
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2313-2318
- MSC (1991): Primary 47A05; Secondary 47B07, 46B06
- DOI: https://doi.org/10.1090/S0002-9939-97-03803-3
- MathSciNet review: 1376763