Products of projections, polar decompositions and norms of differences of two projections (Q2119282)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Products of projections, polar decompositions and norms of differences of two projections |
scientific article; zbMATH DE number 7499366
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Products of projections, polar decompositions and norms of differences of two projections |
scientific article; zbMATH DE number 7499366 |
Statements
Products of projections, polar decompositions and norms of differences of two projections (English)
0 references
29 March 2022
0 references
The paper studies the relation between geometric properties of two projections, \(P\) and \(Q\), on a Hilbert \(C^*\)-module and the value of \(\|P-Q\|\). In particular, it is shown that if the product \(PQ\) as a bounded operator on the Hilbert \(C^*\)-module does not admit a polar decomposition, then \(\|P-Q\|=1\).
0 references
Hilbert \(C^\ast\)-module
0 references
polar decomposition
0 references
product of projections
0 references
norm of the difference of two projections
0 references
0 references
0 references
0 references
