Bases on Hilbert and Banach Spaces

Aref Jeribi ()
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Aref Jeribi: University of Sfax, Department of Mathematics

Chapter Chapter 7 in Perturbation Theory for Linear Operators, 2021, pp 207-254 from Springer

Abstract: Abstract In this chapter, considerable attention has been devoted to bases on Hilbert and Banach spaces. We derive their basic properties, one of the most important of which is the fact that the coefficient functionals associated with a basis are automatically continuous.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-2528-2_7

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DOI: 10.1007/978-981-16-2528-2_7

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