Analytic Realization Separation for Relative Multiplication

Statement

Under the infinite expectation-orthonormal unitary multiplicity hypothesis, relative multiplication is maximally nonclosable on its canonical full core, while its algebraic formula agrees on with the normal faithful semifinite dual operator-valued weight .

Meaning and scope

The weight is an admissible realization in its own framework. It is not identified with a closable Hilbert-space operator.

The paper page includes the reader corrections accompanying this edition.

Source

Paper 2, Theorem 7.2. Research note — not peer reviewed.