This paper presents the following results on the gap metric defined on the space of closed linear operators: 1) the topology introduced by the gap metric is a diagonal product topology; 2) if the gap of two closed operators is smaller than one, then the two directed gaps are the same; 3) a normalized right coprime factorization is constructed for given densely defined closed linear operators, and using this result an equivalent form of the gap metric is presented.
Keywords: Closed linear operator, the gap metric, normalized right coprime factorization.

Name | Memorandum COSOR |
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Volume | 8834 |
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ISSN (Print) | 0926-4493 |
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