103,129 research outputs found

    Strongly Unique Minimal Projections on Hyperplanes

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    AbstractG. Lewicki (J. Approx. Theory64 (1991), 181-202) studied strongly unique minimal projections in reflexive Banach spaces and in ln∞ he obtained a complete characterization of those hyperplanes that are the range of a strongly unique minimal projection. In this paper we extend this type of characterization to hyperplanes in l∞ and ln1

    A note on the admissibility of modular function spaces

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    In this paper we prove the admissibility of modular function spaces Eρ considered and defined by Kozłowski in [17]. As an application we get that any compact and continuous mapping T:Eρ→Eρ has a fixed point. Moreover, we prove that the same holds true for any retract of Eρ

    On the admissibility of the space L0(A,X)L_{0}(A,X) of vector-valued measurable functions

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    We prove the admissibility of the space L_0(A,X) of vector-valued measurable functions determined by real-valued finitely additive set functions defined on algebras of sets

    Minimal extensions in direct sums of Banach spaces

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    Let P(X, Y ) denote the set of all continuous, linear projections from X onto its subspace Y. Put λ(Y,X) = inf{∥P∥ : P ∈ P(X, Y )}. A projection Po ∈ P(X, Y ) is called a minimal projection if and only if ∥P∥ = λ(Y,X). The aim of this paper is to give some estimates of λ(Y,X) in the case when X = Mn j=1 Xj , where (Xj , ∥·∥j) for j = 1, ..., n, are Banach spaces and Y ⊂ X is a closed subspace of X equipped with a norm ∥x∥ = g(∥x1∥1, ..., ∥xn∥n), where g is a monotone norm on Kn, K = C or K = C. We present our results in a more general case of minimal extensions (see Definition (2)). This approach leads to some new estimates of norms of minimal extensions. Also the problems of unicity and strong unicity of minimal extensions (see Definition(3)) is studied

    Gravitational wave, collider and dark matter signals from a scalar singlet electroweak baryogenesis

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    We analyse a simple extension of the SM with just an additional scalar singlet coupled to the Higgs boson. We discuss the possible probes for electroweak baryogenesis in this model including collider searches, gravitational wave and direct dark matter detection signals. We show that a large portion of the model parameter space exists where the observation of gravitational waves would allow detection while the indirect collider searches would not.Ankit Beniwal, Marek Lewicki, James D. Wells, Martin White, Anthony G. William

    Bibliographie Hilarion G. Petzold 1958 – 2009 mit Anhang als Einführung

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    Dieses Archiv enthält die Gesamtbibliographie der Werke des Autors nebst einiger Texte „Über H. G. Petzold“ im Schlussteil der Bibliographie sowie einen Anhang mit einer Einführung in die Architektur des Werkes in seinem wissenslogischen Aufbau als Ausarbeitung seines „Tree of Science Modells“ (2007).This archive contains the complete bibliography of the author and some texts about H. G. Petzold, moreover an epilogue with an introduction to the architecture of the works in its epistemological structure and composition and as an elaborations of Petzold’s „Tree of Science Modell (2007).https://www.fpi-publikation.de/polyloge/01-2009-petzold-h-g-gesamtbibliographie-h-g-petzold-1958-2009-updating-november2009/peerReviewedpublishedVersio

    Dispelling the Myths Behind First-author Citation Counts

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    We conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more sophisticated methods

    Author-springer.pdf

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