Abstract
As the present work is about Hilbert space quantum mechanics, it is mandatory that the reader has sufficient grounding in Hilbert space theory. This short chapter is designed to indicate what sort of basic equipment one needs in the ensuing more sophisticated chapters. At the same time it can be used as an introduction to elementary Hilbert space theory even for the novice. The material is quite standard and appears of course in numerous works, so we do not explicitly specify any references, though some source material can be found in the bibliography.
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Reference
Luxemburg, W.A.J., Zaanen, A.C.: Riesz Spaces, vol. I. North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., New York (1971) (North-Holland Mathematical Library)
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© 2016 Springer International Publishing Switzerland
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Busch, P., Lahti, P., Pellonpää, JP., Ylinen, K. (2016). Rudiments of Hilbert Space Theory. In: Quantum Measurement. Theoretical and Mathematical Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-43389-9_2
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DOI: https://doi.org/10.1007/978-3-319-43389-9_2
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-43389-9
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