Abstract
A general theory of regularized determinants in normed algebras of operators acting in Banach spaces is proposed. In this approach regularized determinants are defined as continuous extensions of the corresponding regularized determinants of operators of finite rank. We characterize the algebras for which such extensions exist and describe the properties of the extended determinants.
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© 2000 Springer Basel AG
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Gohberg, I., Goldberg, S., Krupnik, N. (2000). Regularized Determinants. In: Traces and Determinants of Linear Operators. Operator Theory Advances and Applications, vol 116. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8401-3_10
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DOI: https://doi.org/10.1007/978-3-0348-8401-3_10
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9551-4
Online ISBN: 978-3-0348-8401-3
eBook Packages: Springer Book Archive