JournalszaaVol. 4, No. 4pp. 363–372

Twistprodukt und Quasi-*-AIgebren

  • Gerd Lassner

    Universität Leipzig, Germany
  • Gisela A. Lassner

    Universität Leipzig, Germany
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The Schwartz distribution space S\mathcal S’ becomes a topological quasi-*-algebra with the distinguished subspace S\mathcal S, if one defines the so-called twisted product in it. In the paper it is pointed out that the Weyl quantization fW(f)f \to W(f) IV(/) is an isomorphism of this topological quasi-*-algebra onto the topological quasi-*-algebra L(S,S)\mathcal L (\mathcal S, \mathcal S’) of all linear continuous operators of S\mathcal S in S\mathcal S’. Furthermore, the problem of the extensions of the multiplications in these quasi-*-algebras is discussed.

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Gerd Lassner, Gisela A. Lassner, Twistprodukt und Quasi-*-AIgebren. Z. Anal. Anwend. 4 (1985), no. 4, pp. 363–372

DOI 10.4171/ZAA/159