Abstract
In the first section the basic definitions together with some examples are presented. Then we proceed to prove the main representation theorem for quadratic forms and conclude with some applications. In particular we prove the existence of a smallest positive self-adjoint extension for a positive symmetric operator (Friedrich’s extension) and conclude with proving the existence of the form sum of two positive self-adjoint operators.
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© 2015 Springer International Publishing Switzerland
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Blanchard, P., Brüning, E. (2015). Quadratic Forms. In: Mathematical Methods in Physics. Progress in Mathematical Physics, vol 69. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-14045-2_21
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DOI: https://doi.org/10.1007/978-3-319-14045-2_21
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-14044-5
Online ISBN: 978-3-319-14045-2
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