Initial results connect Krylov solvability in Banach spaces to spectral theory via resolvent operators.
Rudin , Real and C omplex A nalysis , McGraw-Hill Book Co., New York, third ed
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Some results on Krylov solvability in Banach space and connections to spectral theory
Initial results connect Krylov solvability in Banach spaces to spectral theory via resolvent operators.