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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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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
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Characterization of Riesz Spaces with Topologically Full Center,th(E∼) and Z(E∼) respectively. We construct two unital algebra and order-continuous Riesz homomorphisms.γ : ((Orth(E))∼)∼n → Orth(E∼).and.m : Z(E)” → Z(E∼).that extend the above-mentioned natural inclusions respectively. Then, the range of γ is an order ideal in Orth(E∼) if and only if m is surjecti
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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 usua
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Algebraic Absolutely Invertible Elements in Archimedean Riesz Algebras,al P with real coefficients. Moreover, f is called an e-step function in A if there exist pairwise disjoint components p1, . . . , pn of e and real numbers α1, . . . , αn such that.e = p1 + · · · + pn and f = α1p1 + · · · + αnpn..First, we shall prove that if A is an f-algebra, then f is algebraic i
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,A Mazur–Orlicz Type Theorem in Interval Analysis and Its Consequences,le, the Hahn–Banach Theorem and the Mazur–Orlicz Theorem extend linear functionals (operators) dominated in a certain sense by sublinear functionals (operators). It is also known that these theorems have many applications. To get more applications we intend to give some versions of these theorems in
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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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