Normed Spaces

Daniel Alpay
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Daniel Alpay: Ben-Gurion University of the Negev

Chapter Chapter 4 in An Advanced Complex Analysis Problem Book, 2015, pp 199-247 from Springer

Abstract: 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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-16059-7_4

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DOI: 10.1007/978-3-319-16059-7_4

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