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Unbounded $*$-representations of tensor product locally convex $*$-algebras induced by unbounded $C^*$-seminorms

Volume 183 / 2007

M. Fragoulopoulou, A. Inoue Studia Mathematica 183 (2007), 259-271 MSC: 46M05, 46L06, 46K10, 47L60. DOI: 10.4064/sm183-3-4

Abstract

The existence of unbounded $*$-representations of (locally convex) tensor product $*$-algebras is investigated, in terms of the existence of unbounded $*$-representations of the (locally convex) factors of the tensor product and vice versa.

Authors

  • M. FragoulopoulouDepartment of Mathematics
    University of Athens
    Panepistimiopolis, Athens 157 84, Greece
    e-mail
  • A. InoueDepartment of Applied Mathematics
    Fukuoka University
    Fukuoka 814-0180, Japan
    e-mail

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