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Algebraic structure of continuous, unbounded and integrable functions

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 نشر من قبل Jos\\'e A. Prado-Bassas
 تاريخ النشر 2018
  مجال البحث
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In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions in $[0,+infty)$ and of the family of sequences of these functions converging to zero uniformly on compacta and in $L^1$-norm. In addition, we concentrate on the speed at which these functions grow, their smoothness and the strength of their convergence to zero.



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