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Abstract In this paper, we characterize surjective isometries on certain classes of noncommutative spaces associated with semi-finite von Neumann algebras: the Lorentz spaces $L^{w,1}$ , as well as the spaces… Click to show full abstract
Abstract In this paper, we characterize surjective isometries on certain classes of noncommutative spaces associated with semi-finite von Neumann algebras: the Lorentz spaces $L^{w,1}$ , as well as the spaces $L^1+L^\infty$ and $L^1\cap L^\infty$ . The technique used in all three cases relies on characterizations of the extreme points of the unit balls of these spaces. Of particular interest is that the representations of isometries obtained in this paper are global representations.
Keywords:
study isometries;
point methods;
noncommutative spaces;
methods study;
isometries certain;
extreme point
Journal Title: Glasgow Mathematical Journal
Year Published: 2021
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Journal Title: Glasgow Mathematical Journal
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!