Abstract
In this paper a connection between the determinant of a polynomial operator pencil A(λ) = I+λA 1 + …+ λn A n and the characteristic numbers of this pencil are established. The coefficients A m of the pencil A(λ) belong to some algebras D of operators on Banach spaces B. Some applications are suggested.
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Dedicated to the memory of Professor Siegfried Pröβdorf
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Gohberg, I., Krupnik, N. (2001). A connection between the determinant and characteristic numbers of an operator pencil. In: Elschner, J., Gohberg, I., Silbermann, B. (eds) Problems and Methods in Mathematical Physics. Operator Theory: Advances and Applications, vol 121. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8276-7_9
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DOI: https://doi.org/10.1007/978-3-0348-8276-7_9
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9500-2
Online ISBN: 978-3-0348-8276-7
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