Principal measures and spectral shift measures associated with Dixmier traces

Birman, 1993, The spectral shift function. The papers of M. G. Kreĭn and their further development, St. Petersburg Math. J., 4, 833 Carey, 1973, An exponential formula for determining functions, Indiana Univ. Math. J., 23, 1031, 10.1512/iumj.1974.23.23084 Carey, 1973, Construction of seminormal operators with prescribed mosaic, Indiana Univ. Math. J., 23, 1155, 10.1512/iumj.1974.23.23092 Carey, 1974, An invariant for certain operator algebras, Proc. Natl. Acad. Sci. USA, 71, 1952, 10.1073/pnas.71.5.1952 Carey, 1977, Mosaics, principal functions, and mean motion in von Neumann algebras, Acta Math., 138, 153, 10.1007/BF02392315 Connes, 1988, The action functional in noncommutative geometry, Commun. Math. Phys., 117, 673, 10.1007/BF01218391 Connes, 1994 Conway, 1990, A Course in Functional Analysis, vol. 96 Dixmier, 1966, Existence de traces non normales, C. R. Acad. Sci. Paris Sér. A-B, 262, A1107 Engliš, 2009, Toeplitz and Hankel operators and Dixmier traces on the unit ball of Cn, Proc. Am. Math. Soc., 137, 3669, 10.1090/S0002-9939-09-09331-9 Engliš, 2009, The Dixmier trace of Hankel operators on the Bergman space, J. Funct. Anal., 257, 1445, 10.1016/j.jfa.2009.05.005 Engliš, 2016, Hankel operators and the Dixmier trace on the Hardy space, J. Lond. Math. Soc. (2), 94, 337, 10.1112/jlms/jdw037 Gesztesy, 1999, The spectral shift operator, vol. 108, 59 Gohberg, 1969, Introduction to the Theory of Linear Nonselfadjoint Operators, vol. 18 Helton, 1973, Integral operators: commutators, traces, index and homology, vol. 345, 141 Helton, 1975, Traces of commutators of integral operators, Acta Math., 135, 271, 10.1007/BF02392022 Kato, 1976 Krein, 1953, On the trace formula in perturbation theory, Mat. Sb. (N.S.), 33, 597 Krein, 1962, On perturbation determinants and a trace formula for unitary and self-adjoint operators, Dokl. Akad. Nauk SSSR, 144, 268 Kuroda, 1958, On a theorem of Weyl-von Neumann, Proc. Jpn. Acad., 34, 11 Lord, 2013, Singular Traces. Theory and Applications, vol. 46 Pincus, 1968, Commutators and systems of singular integral equations. I, Acta Math., 121, 219, 10.1007/BF02391914 Pincus, 1973, Symmetric singular integral operators, Indiana Univ. Math. J., 23, 537, 10.1512/iumj.1974.23.23045 Simon, 1995, Spectral analysis of rank one perturbations and applications, vol. 8, 109 Upmeier, 2016, Dixmier trace for Toeplitz operators on symmetric domains, J. Funct. Anal., 271, 532, 10.1016/j.jfa.2016.04.022 Voiculescu, 1990, On the existence of quasicentral approximate units relative to normed ideals. I, J. Funct. Anal., 91, 1, 10.1016/0022-1236(90)90047-O Xia, 2021, An integral formula for Schatten norm on the Hardy space: the only high-dimensional case, J. Funct. Anal., 281, 10.1016/j.jfa.2021.109113 Yafaev, 1992, Mathematical Scattering Theory. General Theory, vol. 105