Introduces the category of matricial order operator spaces, proves duality between normality and generation, describes minimal/maximal structures, and equips examples including operator systems, C*-algebras, Schatten spaces, and Banach lattices.
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Stability of semigroup smoothing under relatively bounded perturbations yields spectral and eventually positive perturbation theorems for elliptic PDEs.
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On Matricial Order Operator Spaces
Introduces the category of matricial order operator spaces, proves duality between normality and generation, describes minimal/maximal structures, and equips examples including operator systems, C*-algebras, Schatten spaces, and Banach lattices.
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Smoothing of operator semigroups under relatively bounded perturbations
Stability of semigroup smoothing under relatively bounded perturbations yields spectral and eventually positive perturbation theorems for elliptic PDEs.