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Surjective $L^p$-isometries of Grassmann spaces

Operator Algebras 2021-04-16 v1 Functional Analysis

Abstract

Based on the characterization of surjective LpL^p-isometries of unitary groups in finite factors, we describe all surjective LpL^p-isometries between Grassmann spaces of projections with the same trace value in semifinite factors.

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Cite

@article{arxiv.2104.07027,
  title  = {Surjective $L^p$-isometries of Grassmann spaces},
  author = {Wenhua Qian and Junhao Shen and Weijuan Shi and Wenming Wu and Wei Yuan},
  journal= {arXiv preprint arXiv:2104.07027},
  year   = {2021}
}

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14 pages