Abstract
In the contribution we generalize the notion of spectrum to any (nonassociative) algebra. The spectra of elements of a given algebra are such sets of elements from some other algebra that the Spectrum mapping theorem is valid for polynomials. If the two algebras are topological, we extend the validity of Spectral mapping th. to functions which are limits of sequences of polynomials. In this case the spectral radius keeps its meaning almost unchanged.
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© 1994 Springer Science+Business Media Dordrecht
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Cedilnik, A. (1994). Spectra of Elements of a Nonassociative Algebra. In: González, S. (eds) Non-Associative Algebra and Its Applications. Mathematics and Its Applications, vol 303. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0990-1_14
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DOI: https://doi.org/10.1007/978-94-011-0990-1_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4429-5
Online ISBN: 978-94-011-0990-1
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