Now showing items 1-6 of 6

    • A crossed product approach to Orlicz spaces 

      Labuschagne, Louis E. (London Mathematical Society, 2013)
      We show how the known theory of non-commutative Orlicz spaces for semifinite von Neumann algebras equipped with an faithful normal semifinite trace may be recovered using crossed product techniques. Then using this as a ...
    • A Helson-Szegö theorem for subdiagonal subalgebras with applications to Toeplitz operators 

      Labuschagne, Louis E.; Xu, Quanhua (Elsevier, 2013)
      We formulate and establish a noncommutative version of the well known Helson–Szegö theorem about the angle between past and future for subdiagonal subalgebras. We then proceed to use this theorem to characterise the ...
    • Multipliers on noncommutative Orlicz spaces 

      Labuschagne, Louis E. (Taylor & Francis, 2014)
      We establish very general criteria for the existence of multiplication operators between noncommutative Orlicz spaces L 0 (fM) and L 1 (fM). We then show that these criteria contain existing results, before going on to ...
    • On applications of Orlicz spaces to statistical physics 

      Majewski, W. Adam; Labuschagne, Louis E. (Springer, 2014)
      We present a new rigorous approach based on Orlicz spaces for the description of the statistics of large regular statistical systems, both classical and quantum. The pair of Orlicz spaces we explicitly use are, respectively, ...
    • On vector-valued characters for noncommutative function algebras 

      Blecher, David P.; Labuschagne, Louis E. (Springer, 2020)
      Let A be a closed subalgebra of a C∗-algebra, that is a norm-closed algebra of Hilbert space operators. We generalize to such operator algebras several key theorems and concepts from the theory of classical function algebras. ...
    • Outers for noncommutative Hp revisted 

      Blecher, David P.; Labuschagne, Louis E. (Polskiej Akademii Nauk, Instytut Matematyczny, 2013)
      We continue our study of outer elements of the noncommutative Hp spaces associated with Arveson's subdiagonal algebras. We extend our generalized inner-outer factorization theorem, and our characterization of outer elements, ...