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Absolutely continuous commuting row contractions admit a weak-⁎ continuous functional calculus.
real bounded random variables following an absolutely continuous distribution.
The moods, the colors, the tonalities are absolutely continuous, the emotions fully worked out.
Probabilistic Operator Algebra Seminar: Invariance of absolutely continuous spectra under hybrid normed ideal perturbations.
This yields non-existence of optimizers for the problem over absolutely continuous measures.
The spectrum of this operator is absolutely continuous and consists of intervals separated by gaps.
We introduce notions of absolutely continuous functionals and representations on the non-commutative disk algebra An.
These results imply that Schrödinger operators with such potentials have absolutely continuous spectrum on (A, ∞).
We describe also when absolutely continuous unitary operators have spatially isomorphic invariant subspace lattices.
We prove that such an operator has absolutely continuous spectrum on all of (0,∞).
(absolutely continuous rule).
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