Abstract
We give a characterization of operators on a separable Hubert space of norm less than one that can be represented as products of orthogonal projections and give an estimate on the number of factors. We also describe the norm closure of the set of all products of orthogonal projections.
Original language | English (US) |
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Pages (from-to) | 3659-3669 |
Number of pages | 11 |
Journal | Proceedings of the American Mathematical Society |
Volume | 127 |
Issue number | 12 |
DOIs | |
State | Published - 1999 |
Externally published | Yes |
Keywords
- Hubert space
- Orthogonal projections
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics