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What is Absolute Continuity of Spectral Shift about?

This paper develops the method of double operator integrals to establish trace formulae for various types of operators and proves the absolute continuity of spectral shift using the Sz.-Nagy theorem. The authors construct an intermediate contraction for pairs of contractions with trace class difference and explore the implications for unitary and self-adjoint operators. The results extend to maximal dissipative operators, demonstrating a comprehensive approach to spectral shift functions across different op

Author

gooooglesuppport

Language

EN