Abstract
In this chapter we gather some basic facts about non-archimedean Banach spaces, with a special emphasis on the so-called p-adic Hilbert space . Again the results here are well-known and will serve as background for the operator theory developed in later chapters.
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
T. Diagana, Non-archimedean Linear Operators and Applications (Nova Science Publishers, Inc., Huntington/New York, 2007)
B. Diarra, Geometry of the p-Adic Hilbert Spaces (1999, Preprint)
W.H. Schikhof, Ultrametric Calculus: An Introduction to p-Adic Analysis (Cambridge University Press, Cambridge/New York, 1984)
A.C.M. van Rooij, Non-archimedean Functional Analysis (Marcel Dekker Inc, New York, 1978)
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). Non-Archimedean Banach Spaces. In: Non-Archimedean Operator Theory. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-27323-5_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-27323-5_2
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)