Abstract
There are many surprising aspects to the infinitely many directions in an infinite-dimensional space. For this reason it is necessary to investigate carefully which of the familiar properties of finite-dimensional spaces carry over unchanged and which do not.
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Chapter 2, General
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Section 2.3
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Thirring, W. (1981). The Mathematical Formulation of Quantum Mechanics. In: A Course in Mathematical Physics 3. Springer, Vienna. https://doi.org/10.1007/978-3-7091-7523-1_2
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