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.
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© 2015 Springer International Publishing Switzerland
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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
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DOI: https://doi.org/10.1007/978-3-319-16059-7_4
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-16058-0
Online ISBN: 978-3-319-16059-7
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