Banach Lie groupoid of partial isometries over the restricted Grassmannian

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-02-08 DOI:10.1007/s13324-025-01028-y

Tomasz Goliński, Grzegorz Jakimowicz, Aneta Sliżewska

引用次数: 0

Abstract

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.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

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.