Abstract
The criterion is obtained for operators A from the algebra generated by two orthogonal projections P, Q to have a compatible range, i.e., coincide with A* on the orthogonal complement to the sum of the kernels of A and A*. In the particular case of A being a polynomial in P, Q, some easily verifiable conditions are derived.
Original language | English (US) |
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Pages (from-to) | 117-122 |
Number of pages | 6 |
Journal | Advances in Operator Theory |
Volume | 3 |
Issue number | 1 |
DOIs | |
State | Published - Dec 1 2018 |
Keywords
- Hermitian operators
- Orthogonal projections
- Von Neumann algebras
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory