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Hermitian and adjoint Abelian operators on certain Banach spaces. (English) Zbl 0288.47028

MSC:
47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46E15 Banach spaces of continuous, differentiable or analytic functions
46C99 Inner product spaces and their generalizations, Hilbert spaces
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