Abstract
According to its definition a Hilbert space differs from a general Banach space in the important aspect that the norm is derived from an inner product. This inner product provides additional structure, mainly of geometric nature. This short chapter looks at basic and mostly elementary consequences of the presence of an inner product in a (pre-) Hilbert space.
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© 2003 Springer Science+Business Media New York
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Blanchard, P., Brüning, E. (2003). Geometry of Hilbert Spaces. In: Mathematical Methods in Physics. Progress in Mathematical Physics, vol 26. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0049-9_15
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DOI: https://doi.org/10.1007/978-1-4612-0049-9_15
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6589-4
Online ISBN: 978-1-4612-0049-9
eBook Packages: Springer Book Archive