Uniform Witness Totalization

Statement

Let and share a dense Hilbert-space domain. If is closable, is -graph controlled, and for a bounded decoder , then is closable and .

Meaning and scope

All three conditions are part of the certificate. With unconstrained witness choice, an already closable operator admits the tautological choice , ; see the accompanying correction to Remark 6.4.

The paper page includes the reader corrections accompanying this edition.

Source

Paper 2, Theorem 6.3. Research note — not peer reviewed.