Some trace formulas for almost unperturbed Schrödinger pairs of operators

Xia, Daoxing

doi:10.1090/S0002-9939-1991-1042276-0

Some trace formulas for almost unperturbed Schrödinger pairs of operators
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by Daoxing Xia

Proc. Amer. Math. Soc. 112 (1991), 755-764

DOI: https://doi.org/10.1090/S0002-9939-1991-1042276-0

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Abstract:

Some trace formulas are given for an almost unperturbed Schrödinger pair of operators $\{ U,V\}$ and a self-adjoint operator ${V_0}$, where ${V_0}$ satisfies the condition that $\{ U,{V_0}\}$ is a Schrödinger pair of operators and $\{ V,{V_0}\}$ is almost commuting.

References

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Introduction to the theory of distributions

Daoxing Xia, Trace formula for almost Lie group of operators and cyclic one-cocycles, Integral Equations Operator Theory 9 (1986), no. 4, 570–587. MR 853629, DOI 10.1007/BF01204629
Daoxing Xia, On the almost unperturbed Schrödinger pair of operators, Integral Equations Operator Theory 12 (1989), no. 2, 241–279. MR 986597, DOI 10.1007/BF01195116
Daoxing Xia, Principal distributions for almost unperturbed Schrödinger pairs of operators, Proc. Amer. Math. Soc. 112 (1991), no. 3, 745–754. MR 1042275, DOI 10.1090/S0002-9939-1991-1042275-9