Abstract
Quadratic forms are a powerful tool for the construction of self-adjoint operators, in particular in situations when the natural strategy fails (for instance for the addition of linear operators). For this reason we give a brief introduction into the theory of quadratic forms. After the basic concepts have been introduced and have been explained by some examples we give the main results of the representation theory of quadratic forms including detailed proofs. The power of these representation theorems is illustrated through several important applications (Friedrichs extensions, form sum of operators).
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© 2003 Springer Science+Business Media New York
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Blanchard, P., Brüning, E. (2003). Quadratic Forms. In: Mathematical Methods in Physics. Progress in Mathematical Physics, vol 26. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0049-9_20
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DOI: https://doi.org/10.1007/978-1-4612-0049-9_20
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6589-4
Online ISBN: 978-1-4612-0049-9
eBook Packages: Springer Book Archive