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Convergent Star Products for Projective Limits of Hilbert Spaces

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 نشر من قبل Stefan Waldmann
 تاريخ النشر 2017
  مجال البحث فيزياء
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Given a locally convex vector space with a topology induced by Hilbert seminorms and a continuous bilinear form on it we construct a topology on its symmetric algebra such that the usual star product of exponential type becomes continuous. Many properties of the resulting locally convex algebra are explained. We compare this approach to various other discussions of convergent star products in finite and infinite dimensions. We pay special attention to the case of a Hilbert space and to nuclear spaces.



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