Positive forms on Banach spaces

Balint Farkas; Mate Matolcsi

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Positive forms on Banach spaces

Balint Farkas·Mate Matolcsi

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Abstract

The first representation theorem establishes a correspondence between positive, self-adjoint operators and closed, positive forms on Hilbert spaces. The aim of this paper is to show that some of the results remain true if the underlying space is a reflexive Banach space. In particular, the construction of the Friedrichs extension and the form sum of positive operators can be carried over to this case.

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BibTeX RIS

Balint Farkas, Mate Matolcsi. 2006-12-01. Positive forms on Banach spaces. https://arxiv.org/abs/math/0612015

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