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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1996 Volume 232, Pages 5–15 (Mi znsl3672)

This article is cited in 18 papers

Isometric embeddings of coinvariant subspaces of the shift operator

A. B. Aleksandrov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: Let $\theta$ be an inner function. The main aim of the paper is to describe all positive measures on the unit circle $\mathbb T$ such that $\int_\mathbb T|f|^2\,d\mu=\|f\|^2_{H^2}$ for all continuous functions $f\in H^2\ominus\theta H^2$. Bibl. 8 titles.

UDC: 517.9

Received: 15.11.1995


 English version:
Journal of Mathematical Sciences (New York), 1998, 92:1, 3543–3549

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