Journal of Mathematical Sciences

, Volume 92, Issue 1, pp 3543-3549

Isometric embeddings of coinvariant subspaces of the shift operator

  • A. B. Aleksandrov

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Let θ be an inner function. The main aim of this paper is to describe all positive measures on the unit circle\(\mathbb{T}\) such that\(\int\limits_\mathbb{T} {\left| f \right|^2 } d\mu = \left\| f \right\|_{H^2 }^2 \) for all continuous functions f∈H2⊖θH2. Bibliography: 8 titles.