Positive forms and dilations

Szymański, Wacław

doi:10.1090/S0002-9947-1987-0882714-0

Positive forms and dilations
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by Wacław Szymański PDF

Trans. Amer. Math. Soc. 301 (1987), 761-780 Request permission

Abstract:

By using the quadratic form and unbounded operator theory a new approach to the general dilation theory is presented. The boundedness condition is explained in terms of the Friedrichs extension of symmetric operators. Unbounded dilations are introduced and discussed. Applications are given to various problems involving positive definite functions.

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Extensions of linear transformations in Hilbert spaces which extend beyond the space