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Spectral Triples and Divisibility of Non-Monic Operator Polynomials

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 38))

Abstract

We have seen in Chapters 2–5 how the notions of spectral pairs and triples for monic operator polynomials can be used to analyze such polynomials. In this chapter we drop the requirement that polynomials are monic and develop the calculus of spectral pairs and triples in the framework of non-monic operator polynomials. In subsequent chapters, this calculus will be used to analyze non-monic operator polynomials.

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© 1989 Birkhäuser Verlag Basel

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Rodman, L. (1989). Spectral Triples and Divisibility of Non-Monic Operator Polynomials. In: An Introduction to Operator Polynomials. Operator Theory: Advances and Applications, vol 38. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9152-3_7

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  • DOI: https://doi.org/10.1007/978-3-0348-9152-3_7

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9928-4

  • Online ISBN: 978-3-0348-9152-3

  • eBook Packages: Springer Book Archive

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