Abstract
One of the most influential papers in operator theory was that of Beurling [4] in which he proposed to solve the problem of spectral synthesis for the backward shift operator on the Hilbert space l 2. His characterization of the adjoint operator’s invariant subspaces in terms of inner functions and his introduction of the notion of inner-outer factorization into the problem had a profound effect.
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Cowen, M.J., Douglas, R.G. (1982). On Moduli for Invariant Subspaces. In: Apostol, C., Douglas, R.G., Sz.-Nagy, B., Voiculescu, D., Arsene, G. (eds) Invariant Subspaces and Other Topics. Operator Theory: Advances and Applications, vol 6. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5445-0_5
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DOI: https://doi.org/10.1007/978-3-0348-5445-0_5
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