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 the hermitian conjugate of $A$ on the orthogonal complement to the sum of their kernels. In the particular case of $A$ being a polynomial in $P,Q$, some easily verifiable conditions are derived.
Citation
Ilya M Spitkovsky. "Operators with compatible ranges in an algebra generated by two orthogonal projections." Adv. Oper. Theory 3 (1) 117 - 122, Winter 2018. https://doi.org/10.22034/aot.1702-1111
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