Topological Vector Spaces

Fabio Botelho
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Fabio Botelho: Federal University of Pelotas, Department of Mathematics and Statistics

Chapter Chapter 1 in Functional Analysis and Applied Optimization in Banach Spaces, 2014, pp 3-40 from Springer

Abstract: Abstract The main objective of this chapter is to present an outline of the basic tools of analysis necessary to develop the subsequent chapters. The results addressed include the open mapping and closed graph theorems and an introduction to Hilbert spaces. We assume the reader has a background in linear algebra and elementary real analysis at an undergraduate level.

Keywords: Topological Vector Space; Elementary Real Analysis; Closed Graph Theorem; Undergraduate Level; Hilbert Space (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06074-3_1

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DOI: 10.1007/978-3-319-06074-3_1

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