Extending positive definiteness

Details Extending positive definiteness Extending positive definiteness

2009-06-30

arxiv.org/abs/0906.5410v1

Mathematics

Functional Analysis

Scientific paper

The main result of the paper gives criteria for extendibility of sesquilinear form-valued mappings defined on symmetric subsets of *-semigroups to positive definite ones. By specifying this we obtain new solutions of: * the truncated complex moment problem, * the truncated multidimensional trigonometric moment problem, * the truncated two-sided complex moment problem, as well as characterizations of unbounded subnormality and criteria for the existence of unitary power dilation.

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