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Restrictions of bounded linear operators: Closed range |
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| Authors: | Bruce A. Barnes |
| Affiliation: | Department of Mathematics, University of Oregon, Eugene, Oregon 97403 |
| Abstract: | Let  be a bounded linear operator on a Banach space  and let  be a subspace of  which is a Banach space and  invariant. Denote by  the restriction of  to  This paper explores the questions: |
| Keywords: | Restriction of a bounded linear operator closed range. |
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If the range of 
is closed, under what conditions is the range of 
closed? 
If the range of 
is closed, under what conditions is the range of 
closed?