1,720,986 research outputs found
Schur and Nikodym convergence-type theorems in Riesz spaces with respect to the (r)-convergence
No full textSome versions of Schur and Nikodym convergence-type theorems for Riesz space-valued countably additive measures with respect to the (r)-convergence are given. The concept of sigma-additive measure is formulated similarly as in the classical case (not with respect to a common unit), while the notion of pointwise convergence of the involved measures is given with respect to a same unit
Ideal convergence and divergence of nets in l-groups
No full textIn this paper we introduce the I- and I^*-convergence and divergence of nets in l-groups. We prove some theorems relating
different types of convergence/divergence for nets in l-group setting, in relation with ideals. We consider both order and (D)-convergence.
By using basic properties of order sequences,
some fundamental properties, Cauchy-type characterizations
and comparison results are derived.
We prove that I^-convergence/divergence implies
I-convergence/divergence for every ideal, admissible for
the set of indexes with respect to which the net involved is directed, and we investigate a class of ideals for which the converse implication holds
Brooks-Jewett-type theorems for the pointwise ideal convergence of measures with values in l-groups
No full textSome Brooks-Jewett, Vitali-Hahn-Saks and Nikodym convergence-type theorems in the context of l-groups with respect to ideal convergence are proved. Moreover, an example is given, in which it is shown that in general results analogous to these kinds of limit theorems do not hold, when pointwise convergence of the measure involved is replaced by the corresponding ideal pointwise convergence
Limit theorems in l-groups with respect to D-convergence
No full textSome Schur, Vitali-Hahn-Saks and Nikodym convergence theorems for l-group-valued measures are given in the context of (D)-convergence. We consider both the sigma-additive and the finitely additive case. The pointwise convergence of the measures involved is assumed to be with respect to a common regulator, while the concepts of sigma-additivity and strong boundedness are formulated similarly as the corresponding classical ones (and not with respect to a same regulator)
Ideal exhaustiveness, weak convergence and weak compactness in Banach spaces
No full textSome types of compactness in the ideal context are defined and relations between ideal exhaustiveness and equicontinuity of measures are investigated. As applications, some versions of limit theorems involving ideal pointwise convergence of measure sequence and some weak compactness results related to integral functionals are presented
Ideal exhaustiveness, continuity and alpha-convergence for latticegroup-valued functions
No full textWe examine some fundamental properties of ideal exhaustiveness, in the context of l-groups with respect to (D)-convergence. We give some necessary and/or sufficient conditions, in order that the limit measure is continuous (with respect to a common regulator), and we investigated some particular properties of the ideals of the set of all natural numbers
Some versions of limit and Dieudonné-type theorems with respect to filter convergence for (ℓ)-group-valued measures
No full textSome limit and Dieudonné-type theorems in the setting of
l-groups with respect to filter convergence are proved, extending earlier results. A particular importance is given to (uniform) absolute continuity and (uniform) regular measures. We deal with pointwise filter convergence, and by studying "good countability properties" of filters involved we are able to reconduct some properties of ideal convergence
(which is weaker than the classical one) to some corresponding properties
of the usual convergence, in order to prove our results
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Get PDF“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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