Algebraic structure of continuous, unbounded and integrable functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:470

Article

Calderon-Moreno, M. C.¹  Gerlach-Mena, P. J.¹  Prado-Bassas, J. A.¹ 

[1] Univ Seville, Fac Matemat, Dept Anal Matemat, Avda Reina Mercedes S-N, Seville 41080, Spain

关键词: Continuous unbounded functions;    Integrable functions;    Lineability;    Algebrability;   

DOI  :  10.1016/j.jmaa.2018.10.007

来源: Elsevier

【 摘 要 】

In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions in [0, +infinity) 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. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free