Abstract
A Hilbert space H is a vector space endowed with an inner product such that the norm associated with the inner product is complete. We use the notation 〈 , 〉 for the inner product, and \(\Vert \,f\Vert = \sqrt{\langle \,f, f\rangle }\) for the norm.
The study of various topologies and the relations among them is, despite its current popularity in the theory of topological linear spaces, a pretty dull business.
P.R. Halmos (1916–2006)
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsAuthor information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer-Verlag London
About this chapter
Cite this chapter
Coudène, Y. (2016). Weak Convergence. In: Ergodic Theory and Dynamical Systems. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-7287-1_16
Download citation
DOI: https://doi.org/10.1007/978-1-4471-7287-1_16
Published:
Publisher Name: Springer, London
Print ISBN: 978-1-4471-7285-7
Online ISBN: 978-1-4471-7287-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)