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Banach and Hilbert Spaces: Elements of Functional Analysis

Igor Kriz and Aleš Pultr
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Igor Kriz: University of Michigan, Department of Mathematics
Aleš Pultr: Charles University, Department of Applied Mathematics (KAM) Faculty of Mathematics and Physics

Chapter 16 in Introduction to Mathematical Analysis, 2013, pp 393-426 from Springer

Abstract: Abstract Let us now turn to infinite-dimensional geometry. The simplest such structure is probably that of a Hilbert space. It is highly relevant for analysis, and plays a key role in such areas as stochastic analysis and quantum physics. In this chapter we will discuss the basics of this concept; in the next one we will present some of its uses.

Date: 2013
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DOI: 10.1007/978-3-0348-0636-7_16

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