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Titlebook: Ordered Structures and Applications; Positivity VII (Zaan Marcel de Jeu,Ben de Pagter,Mark Veraar Conference proceedings 2016 Springer Inte

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Quasi-compactness and Uniform Convergence of Markov Operator Nets on KB-spaces,We investigate quasi-compactness of operator nets on KB-spaces which is equivalent to uniform convergence. Moreover we study the uniform ergodicity condition of a single operator or operator semigroups.
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On Ordered C*-algebras,ras are studied. In particular, the algebra L(H), where H is an ordered Hilbert space with cone K satisfying K* = K, is considered. An example is given of an ordered C*-algebra A with an ideal I in A that contains elements a, b ∈ A such that 0 ≤ a ≤ b ∈ I and an ∈ I for all n ∈ N. Finally, ordered C*-algebras with p-additive norms are studied.
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Reproducing Kernels and Positivity of Vector Bundles in Infinite Dimensions,ties of the corresponding bundles. The positivity refers to the curvature form of certain covariant derivatives associated to reproducing kernels on the vector bundles under consideration. The values of the curvature form are Hilbert space operators, and its positivity is thus understood in the usual sense from operator theory.
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Narrow Operators on Lattice-normed Spaces and Vector Measures,row (before it was known that such operators are narrow). Then we show that every dominated, order-continuous linear operator from a lattice-normed space over atomless vector lattice to an atomic lattice-normed space is order narrow.
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,A Unified Approach to Topological Invariants of Lorentz–Orlicz–Marcinkiewicz Spaces,ental functions can be expressed explicitly one through another. In particular, the paper contains an interpretation of topological invariants through the distribution properties of a “base” sequence of natural numbers – the same for every space in the triple.
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