The pair is source-restriction stable if restricting a realization to leaves in and leaves the demanded operators, restricted to the dense source , in .
Meaning and scope
Shrinking a source must respect both the carrier class and the allowed operator class.
Example
A closable Hilbert-space operator restricted to a smaller domain remains closable in the closure of that domain; this is Proposition 3.4.
The paper page includes the reader corrections accompanying this edition.