The paper introduces GDOIs for continuous-spectrum non-self-adjoint operators and derives their algebraic, perturbation, norm, continuity, and differentiation properties, relying on spectral decompositions imported from the author's prior work.
Double operator integrals in a hilbert space,
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Generalized Double Operator Integrals for Continuous Spectrum Operators
The paper introduces GDOIs for continuous-spectrum non-self-adjoint operators and derives their algebraic, perturbation, norm, continuity, and differentiation properties, relying on spectral decompositions imported from the author's prior work.