Abstract
Following the program outlined in the Introductory Lecture let us proceed to the main object of this course, viz. the operator S*∣K, where K is a subspace of H2-invariant for the operator S*. Such restrictions will be called parts of the original operator. Together with these it will also be convenient to consider the adjoint operators, the so-called compressions of the shift operator. (We will also refer to the operator S*∣K, as well as to its adjoint, as the “truncated shift”.)
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© 1986 Springer-Verlag Berlin Heidelberg
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Nikol’skiĭ, N.K. (1986). Compressions of the Shift and the Spectra of Inner Functions. In: Treatise on the Shift Operator. Grundlehren der mathematischen Wissenschaften, vol 273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70151-1_4
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DOI: https://doi.org/10.1007/978-3-642-70151-1_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-70153-5
Online ISBN: 978-3-642-70151-1
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