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Bijective maps which are close to partial isometries. (English) Zbl 0686.47003

Summary: It is introduced the notion of partial isometry from a set X onto a set Y which are endowed with the families of pseudometrics. It is proved an estimation for the closeness of a partial linear isometry to a bijective map M from a locally convex space onto a sequentially complete Hausdorff locally convex space.

MSC:

47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
46A30 Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
54E40 Special maps on metric spaces
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