Tomasz Goliński, Grzegorz Jakimowicz, Aneta Sliżewska
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Banach Lie groupoid of partial isometries over the restricted Grassmannian
The set of partial isometries in a \(W^*\)-algebra possesses a structure of Banach Lie groupoid. In this paper, the differential structure on the set of partial isometries over the restricted Grassmannian is constructed, which makes it into a Banach Lie groupoid.
期刊介绍:
Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.