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.
Spitkovsky, I. (2018). Operators with compatible ranges in an algebra generated by two orthogonal projections. Advances in Operator Theory, 3(1), 117-122. doi: 10.22034/aot.1702-1111
MLA
Ilya M Spitkovsky. "Operators with compatible ranges in an algebra generated by two orthogonal projections". Advances in Operator Theory, 3, 1, 2018, 117-122. doi: 10.22034/aot.1702-1111
HARVARD
Spitkovsky, I. (2018). 'Operators with compatible ranges in an algebra generated by two orthogonal projections', Advances in Operator Theory, 3(1), pp. 117-122. doi: 10.22034/aot.1702-1111
VANCOUVER
Spitkovsky, I. Operators with compatible ranges in an algebra generated by two orthogonal projections. Advances in Operator Theory, 2018; 3(1): 117-122. doi: 10.22034/aot.1702-1111
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