ar X iv : m at h / 99 02 06 1 v 1 [ m at h . O A ] 9 F eb 1 99 9 On representations of partial ∗ - algebras based on B - weights
نویسنده
چکیده
A generalization of the GNS-representation is investigated that represents partial ∗-algebras as systems of operators acting on a partial inner product space (PIP -space). It is based on possibly indefinite B-weights which are closely related to the positive B-weights introduced by J.-P. Antoine, Y. Soulet and C. Trapani. Some additional assumptions had to be made in order to guarantee the GNS-construction. Different partial products of operators on a PIP -space are considered which allow the GNS-construction under suitable conditions. Several examples illustrate the argumentation and indicate inherent problems.
منابع مشابه
ar X iv : a st ro - p h / 99 02 06 2 v 1 4 F eb 1 99 9 SOURCES OF RELATIVISTIC JETS IN THE GALAXY
متن کامل
ar X iv : m at h / 99 02 02 5 v 1 [ m at h . O C ] 3 F eb 1 99 9 Notions of Input to Output Stability
This paper deals with several related notions of output stability with respect to inputs (which may be thought of as disturbances). The main such notion is called input to output stability (ios), and it reduces to input to state stability (iss) when the output equals the complete state. For systems with no inputs, ios provides a generalization of the classical concept of partial stability. Seve...
متن کاملar X iv : h ep - t h / 99 02 02 7 v 1 3 F eb 1 99 9 INFRARED REGION OF QCD AND CONFINEMENT
Gauge field configurations appropriate for the infrared region of QCD is proposed. Using the usual QCD action, confinement is realized as in the London theory of Meissner effect.
متن کاملar X iv : m at h / 99 02 05 8 v 1 [ m at h . G T ] 8 F eb 1 99 9 The limit configuration space integral for tangles and the Kontsevich integral
This article is the continuation of our first article (math/9901028). It shows how the zero-anomaly result of Yang implies the equality between the configuration space integral and the Kontsevich integral.
متن کامل