The Sylvester equation ax - xb = c is solvable in the Banach module precisely when verifiable spectral conditions hold, with explicit formulas for solutions and a characterization of uniqueness
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Solving the Sylvester equation in Banach modules
The Sylvester equation ax - xb = c is solvable in the Banach module precisely when verifiable spectral conditions hold, with explicit formulas for solutions and a characterization of uniqueness