Date | 2018-12-05 |
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Speaker | 이우영 |

Dept. | 서울대학교 |

Room | 129-301 |

Time | 16:00-18:00 |

In this talk, I present a canonical decomposition of operator-valued strong L^2-functions by the aid of the Beurling-Lax-Halmos Theorem which characterizes the shift-invariant subspaces of vector-valued Hardy space. I also introduce a notion of the "Beurling degree" for inner functions by employing a canonical decomposition of strong L^2-functions induced by the given inner functions. Eventually, we establish a deep connection between the Beurling degree of the given inner function and the spectral multiplicity of the model operator on the corresponding model space.

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