On suboperators with codimension one domains

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Abstract

The question of the existence of a proper closed densely defined suboperator whose domain contains a given linear space is answered. Such suboperators with codimension one domains are described. The motivation for studying this topic comes from the theory of extremal extensions of (non-densely defined) positive operators.

Keywords

Closed operator
Suboperator
Codimension one domain

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The research of the second author was supported by the MNiSzW grant N201 026 32/1350.