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EQUIVALENT NORMS IN A BANACH FUNCTION SPACE AND THE SUBSEQUENCE PROPERTY
Calabuig, Jose M.,Fernandez-Unzueta, Maite,Galaz-Fontes, Fernando,Sanchez-Perez, Enrique A. Korean Mathematical Society 2019 대한수학회지 Vol.56 No.5
Consider a finite measure space (${\Omega}$, ${\Sigma}$, ${\mu}$) and a Banach space $X({\mu})$ consisting of (equivalence classes of) real measurable functions defined on ${\Omega}$ such that $f{\chi}_A{\in}X({\mu})$ and ${\parallel}f{\chi}_A{\parallel}{\leq}{\parallel}f{\parallel}$, ${\forall}f{\in}({\mu})$, $A{\in}{\Sigma}$. We prove that if it satisfies the subsequence property, then it is an ideal of measurable functions and has an equivalent norm under which it is a Banach function space. As an application we characterize norms that are equivalent to a Banach function space norm.
Equivalent norms in a Banach function space and the subsequence property
Jose M. Calabuig,Maite Fernandez-Unzueta,Fernando Galaz-Fontes,Enrique A. Sanchez-Perez 대한수학회 2019 대한수학회지 Vol.56 No.5
Consider a finite measure space $(\Ome,\Sig,\mu)$ and a Banach space $X(\mu)$ consisting of (equivalence classes of) real measurable functions defined on $\Ome$ such that $f\chi_A \in X(\mu) $ and $ \|f\chi_A \| \leq \|f\|, \ \pt f \in X(\mu), \ A \in \Sig$. We prove that if it satisfies the subsequence property, then it is an ideal of measurable functions and has an equivalent norm under which it is a Banach function space. As an application we characterize norms that are equivalent to a Banach function space norm.
Citations to arXiv Preprints by Indexed Journals and Their Impact on Research Evaluation
Ferrer-Sapena, Antonia,Aleixandre-Benavent, Rafael,Peset, Fernanda,Sanchez-Perez, Enrique A. Korea Institute of Science and Technology Informat 2018 Journal of Information Science Theory and Practice Vol.6 No.4
This article shows an approach to the study of two fundamental aspects of the prepublication of scientific manuscripts in specialized repositories (arXiv). The first refers to the size of the interaction of "standard papers" in journals appearing in the Web of Science (WoS)-now Clarivate Analytics-and "non-standard papers" (manuscripts appearing in arXiv). Specifically, we analyze the citations found in the WoS to articles in arXiv. The second aspect is how publication in arXiv affects the citation count of authors. The question is whether or not prepublishing in arXiv benefits authors from the point of view of increasing their citations, or rather produces a dispersion, which would diminish the relevance of their publications in evaluation processes. Data have been collected from arXiv, the websites of the journals, Google Scholar, and WoS following a specific ad hoc procedure. The number of citations in journal articles published in WoS to preprints in arXiv is not large. We show that citation counts from regular papers and preprints using different sources (arXiv, the journal's website, WoS) give completely different results. This suggests a rather scattered picture of citations that could distort the citation count of a given article against the author's interest. However, the number of WoS references to arXiv preprints is small, minimizing this potential negative effect.