References
Carey, R. W., Pincus, J. D., Commutators, symbols and determining functions, J. Functional Analysis 19 (1975), 50–80.
Carey, R. W., Pincus, J. D., Mosaics, principal functions and mean motion in von Neumann algebras, Acta Math. 138(1977), 153–218.
Carey, R. W., Pincus, J. D., Almost commuting pairs of unitary operators and flat currents, Integ. Eq. Oper. Theory 4 (1981), 45–122.
Clancey, K. F., Seminormal operators, Lectures Notes in Math. No 742 (1980) Springer-Verlag.
De Branges, L., Perturbation of self-adjoint transformations, Amer. J. Math. 84(1962), 543–580.
Helton, J. W., Howe, R., Integral operators, commutator traces, index and homology, Lectures Notes in Math. No. 345, (1973), 141–209, Springer-Verlag.
Kato, T., Perturbation Theroy for Linear Operators, (1968), Springer-Verlag.
Pincus, J. D., Commutators and systems of singular integral equations, I, Acta Math. 121 (1968), 219–249.
Pincus, J. D. On the trace of commutators in the algebra of operators generated by an operator with trace class self-commutator, Stony Brook (Preprint).
Putnam, C. R., Commutation Properties of Hilbert Space Operators, Eng. Math. Greng. No. 36, (1967), Springer-Verlag.
Reed, M., Simon B., Methods of Modern Mathematical Physics III. Scatering Theory, (1979) Acad. Press.
Rosenblum, M., Perturbations of continuous spectrum and unitary equivalence, Pacific J. Math. 7 (1957), 997–1010.
Von Neumann, J., Die Eindeutigkeit der Schrödingershen Operatoren. Math. Ann. 104 (1928), 570–578.
Xia, D., Measure and Integration Theory on Infinite-dimensional Spaces. (1972) Acad. Press.
Xia, D., Spectral Theory of Hyponormal Operators, (1983) Birkhäuser Verlag.
Xia, D., Trace formula for almost Lie group of operators and cyclic onecocycles, Integ. Eq. Oper. Theory 9 (1986) 570–587.
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Supported in part by NSF grant DMS-8700048
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Xia, D. On the almost unperturbed Schrödinger pair of operators. Integr equ oper theory 12, 241–279 (1989). https://doi.org/10.1007/BF01195116
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DOI: https://doi.org/10.1007/BF01195116