Order Derivations on Lp-Spaces of W*-Algebras.
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Lothar M. Schmitt (1987)
Mathematische Zeitschrift
Erwin Neuhardt (1990)
Mathematica Scandinavica
Francois Combes, Heinrich Zettl (1983)
Mathematische Annalen
David P. Blecher, Charles John Read (2014)
Studia Mathematica
In earlier papers we have introduced and studied a new notion of positivity in operator algebras, with an eye to extending certain C*-algebraic results and theories to more general algebras. Here we continue to develop this positivity and its associated ordering, proving many foundational facts. We also give many applications, for example to noncommutative topology, noncommutative peak sets, lifting problems, peak interpolation, approximate identities, and to order relations between an operator...
Sh. A. Ayupov, V. I. Chilin, R. Z. Abdullaev (2012)
Commentationes Mathematicae Universitatis Carolinae
Let be a von Neumann algebra, let be a weight on and let be -function satisfying the -condition. In this paper we study Orlicz spaces, associated with , and .
Popovici, D. (1998)
Acta Mathematica Universitatis Comenianae. New Series
Stanislaw Goldstein, Adam Paszkiewicz (1990)
Monatshefte für Mathematik
Jørgensen, Palle E.T., Pedersen, Steen (1998)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Stanisław Goldstein (1984)
Studia Mathematica
Jan Hamhalter (1990)
Commentationes Mathematicae Universitatis Carolinae
Dijana Ilišević, Aleksej Turnšek, Dilian Yang (2014)
Studia Mathematica
We study the representation of orthogonally additive mappings acting on Hilbert C*-modules and Hilbert H*-modules. One of our main results shows that every continuous orthogonally additive mapping f from a Hilbert module W over 𝓚(𝓗) or 𝓗𝓢(𝓗) to a complex normed space is of the form f(x) = T(x) + Φ(⟨x,x⟩) for all x ∈ W, where T is a continuous additive mapping, and Φ is a continuous linear mapping.
J.D. Maitland Wright, Kazuyuki Saito (1984)
Mathematica Scandinavica
Alain Connes (1975)
Annales scientifiques de l'École Normale Supérieure
David P. Blecher, Louis E. Labuschagne (2013)
Studia Mathematica
We continue our study of outer elements of the noncommutative spaces associated with Arveson’s subdiagonal algebras. We extend our generalized inner-outer factorization theorem, and our characterization of outer elements, to include the case of elements with zero determinant. In addition, we make several further contributions to the theory of outers. For example, we generalize the classical fact that outers in actually satisfy the stronger condition that there exist aₙ ∈ A with haₙ ∈ Ball(A)...
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