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A cross section from invariant subspaces to inner functions

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Abstract

Beurling's well known theorem connects the study of invariant subspaces to that of inner functions over the unit disc. In this paper, we will further explore this connection and, as a corollary of the result, show a one to one correspondence between the components of the invariant subspace lattice and the components of the space of inner functions.

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Reference

  1. R. G. Douglas and Carl Pearcy, On a Topology for Invariant Subspaces, J. of Func. Analysis, Vol. 2, No. 3, 1968.

  2. John B. Garnett,Bounded Analytic Functions, Academic Press, New York, 1981.

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  3. D. A. Herrero,Inner functions under uniform topology, Pacific J. Math.51 (1974), 167–175.

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  4. D. A. Herrero,Inner functions under uniform topology, II, Rev. Un. Mat. Argentina28 (1976), 23–35.

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Authors and Affiliations

  1. Mathematics Department, SUNY, StonyBrook

    Rongwei Yang

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  1. Rongwei Yang
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Yang, R. A cross section from invariant subspaces to inner functions. Integr equ oper theory 28, 238–244 (1997). https://doi.org/10.1007/BF01191820

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  • DOI: https://doi.org/10.1007/BF01191820

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