Outers for noncommutative $H^{p}$ revisited

• Autorzy: David P. Blecher , Louis E. Labuschagne
• Języki publikacji: EN

Abstrakty

EN

We continue our study of outer elements of the noncommutative $H^{p}$ 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 $H^{p}$ actually satisfy the stronger condition that there exist aₙ ∈ A with haₙ ∈ Ball(A) and haₙ → 1 in p-norm.

Kategorie tematyczne

• 46E15: Banach spaces of continuous, differentiable or analytic functions
• 46L52: Noncommutative function spaces
• 46L51: Noncommutative measure and integration
• 46K50: Nonselfadjoint (sub)algebras in algebras with involution
• 30H10: Hardy spaces
• 46J15: Banach algebras of differentiable or analytic functions, H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 217
• Numer: 3
• Strony: 265-287

Daty

wydano

2013

Twórcy

autor

David P. Blecher

• Department of Mathematics, University of Houston, Houston, TX 77204-3008, U.S.A.

autor

Louis E. Labuschagne

• Internal Box 209, School of Computer, Statistical and Mathematical Sciences, North-West University, Pvt. Bag X6001, 2520 Potchefstroom, South Africa

Identyfikatory

DOI

10.4064/sm217-3-4