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This research demonstrates time-dependent properties of operator functions in bounded operators, highlighting novel findings.
Replacing operators with continuous operator‐valued functions, we prove time‐dependent versions of well‐known results on compressions and diagonals of bounded operators. The setting of smooth functions is also addressed. Our results have no analogues in the literature and rely on a new technique. The results are especially transparent for self‐adjoint operators.
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Müller et al. (2026) studied this question.
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