definition · fr-1-definition-4-1
Maximal nonclosability
Definition in the source manuscript fusion-reconstruction
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Statement
For a densely defined linear operator , write . The operator is maximally nonclosable when this set equals all of .
Meaning and scope
Every target value can occur as a graph limit over source vectors tending to zero. A closed single-valued operator cannot have this behavior.
Example
For , , the vectors tend to zero while , for every scalar .
The paper page includes the reader corrections accompanying this edition.
Source
[Paper 1, Definition 4.1](/public/papers/released/Paper I - Infinite Index Fusion.pdf#page=5). Research note — not peer reviewed.
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