Article
Article
Hilbert space
Article By:
Young, N. J. Department of Mathematics and Statistics, University of Lancaster, Lancaster, United Kingdom.
Last reviewed:August 2020
DOI:https://doi.org/10.1036/1097-8542.757438
An abstract notion of great power and beauty, which has been central to the development of mathematical analysis and forms the backdrop for many applications of analysis to science and engineering. Its essence lies in the fact that the objects of primary interest in analysis (namely, functions) enjoy geometrical properties which are in important ways analogous to the geometry of physical space. Thus the highly developed human visual and spatial intuition can lead to significant truths about functions.
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