Automorphisms of the algebra of operators in $𝕃^{p}$ preserving conditioning

• Autorzy: Ryszard Jajte
• Języki publikacji: EN

Abstrakty

EN

Let α be an isometric automorphism of the algebra $𝔹_{p}$ of bounded linear operators in $𝕃^{p}[0, 1]$ (p ≥ 1). Then α transforms conditional expectations into conditional expectations if and only if α is induced by a measure preserving isomorphism of [0, 1].

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 120
• Numer: 2
• Strony: 263-266

Daty

wydano

2010

Twórcy

autor

Ryszard Jajte

• Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Identyfikatory

DOI

10.4064/cm120-2-6