169 research outputs found

    Prefazione

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    Pettis integrability of fuzzy mappings with values in arbitrary Banach spaces

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    In this paper we study the Pettis integral of fuzzy mappings in arbitrary Banach spaces. We present some properties of the Pettis integral of fuzzy mappings and we give conditions under which a scalarly integrable fuzzy mapping is Pettis integrable

    On weakly measurable stochastic processes and absolutely summing operators

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    summary:A characterization of absolutely summing operators by means of McShane integrable stochastic processes is considered

    An equivalent definition of the vector-valued McShane integral by means of partitions of unity

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    An integral for vector-valued functions on a σ-finite outer regular quasi-radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterize

    Riemann type integrals for functions taking values in a locally convex space

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    The McShane and Kurzweil-Henstock integrals for functions taking values in a locally convex space are dened and the relations with other integrals are studied. A characterization of locally convex spaces in which Henstock Lemma holds is given

    Massimo Marraffa, La mente in bilico. Le basi filosofiche della scienza cognitiva. Carocci, Roma 2008, pp. 258

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    The text offers a Critical Review of "La mente in bilico. Le basi filosofiche della scienza cognitiva" by Massimo Marraffa. The author critically reflects on the book by considering its methodologies, its arguments, and its relation with other books of the same type and on the same subject.Il testo propone una Lettura Critica del libro "La mente in bilico. Le basi filosofiche della scienza cognitiva" di Massimo Marraffa. L'autrice riflette criticamente sul libro considerandone le metodologie, gli argomenti e il nesso con altri libri dello stesso tipo e sullo stesso argomento

    The McShane, PU and Henstock integrals of Banach valued functions

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    summary:Some relationships between the vector valued Henstock and McShane integrals are investigated. An integral for vector valued functions, defined by means of partitions of the unity (the PU-integral) is studied. In particular it is shown that a vector valued function is McShane integrable if and only if it is both Pettis and PU-integrable. Convergence theorems for the Henstock variational and the PU integrals are stated. The families of multipliers for the Henstock and the Henstock variational integrals of vector valued functions are characterized
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