Abstract
In the present chapter we discuss important classes of normed spaces, and in particular, Hilbert spaces and Banach spaces. We also discuss indefinite inner product spaces. A distinguished class of Hilbert spaces, namely reproducing kernel Hilbert spaces, is studied at a later stage in Chapter 7. These various notions play an important role in the third part of the book, dedicated to spaces of analytic functions and their operators.
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
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Alpay, D. (2015). Normed Spaces. In: An Advanced Complex Analysis Problem Book. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-16059-7_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-16059-7_4
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-16058-0
Online ISBN: 978-3-319-16059-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)