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Abstract: In this note the notions of trace compatible operators and infinitesimalspectral flow are introduced. We define the spectral shift function as theintegral of infinitesimal spectral flow. It is proved that the spectral shiftfunction thus defined is absolutely continuous and Kreins formula isestablished. Some examples of trace compatible affine spaces of operators aregiven.



Author: Nurulla Azamov, Fyodor Sukochev

Source: https://arxiv.org/







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