Differentiation in Banach Spaces

Celso Melchiades Doria ()
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Celso Melchiades Doria: Universidade Federal de Santa Catarina, Department of Mathematics, CFM

Chapter Chapter 3 in Differentiability in Banach Spaces, Differential Forms and Applications, 2021, pp 127-178 from Springer

Abstract: Abstract In this chapter we will introduce the concept of differentiability of maps defined in Banach spaces. The Inverse Function Theorem (InFT) is the main result; some examples of optimization in Variational Calculus are given, as well as some properties of the Fredholm maps are proved along with some applications of the InFT.

Date: 2021
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DOI: 10.1007/978-3-030-77834-7_3

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