Abstract
This chapter is devoted to the so-called Vishik spectral theorem for bounded linear operators. Here, we mainly follow Attimu [4], Attimu and Diagana [3], Baker [7], and Vishik [54].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
D. Attimu, T. Diagana, Functional calculus for a class of unbounded linear operators on some non-Archimedean Banach spaces. Comment. Math. Univ. Carolin. 50(1), 37–60 (2009)
D. Attimu, Linear operators on some non-archimedean Hilbert spaces and their spectral theory. PhD Thesis, Howard University, Washington DC (2008)
R. Baker, A certain p-adic spectral theorem (2007). arXiv.math /070353901 [MATH.FA]
N. Koblitz, p-adic Analysis: A Short Course on Recent Work (Cambridge University Press, Cambridge, 1980)
M. Vishik, Non-archimedean spectral theory. J. Sov. Math. 30, 2513–2554 (1985)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 The Author(s)
About this chapter
Cite this chapter
Diagana, T., Ramaroson, F. (2016). The Vishik Spectral Theorem. In: Non-Archimedean Operator Theory. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-27323-5_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-27323-5_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-27322-8
Online ISBN: 978-3-319-27323-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)