Abstract
According to Prop. 9.10 (see also Remark 9.19) a wave operator is necessarily also an intertwining operator. But the converse is not true in general if J is a fixed identification operator. In this paragraph, which can be considered as a continuation of Paragraphs 9.3 and 9.5, we study some structural properties of wave operators. As in Paragraph 9.2 and the following paragraphs we choose a fixed universal projection P H . Moreover, the identification operator J is fixed in this paragraph.
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© 1983 Springer Basel AG
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Baumgärtel, H., Wollenberg, M. (1983). Structural Properties of Wave and Scattering Operators. In: Mathematical Scattering Theory. Operator Theory: Advances and Applications, vol 9. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5440-5_12
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DOI: https://doi.org/10.1007/978-3-0348-5440-5_12
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5442-9
Online ISBN: 978-3-0348-5440-5
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