A unified Pietsch domination theorem

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:365

Article

Botelho, Geraldo²  Pellegrino, Daniel¹  Rueda, Pilar³ 

[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil

[2] Univ Fed Uberlandia, Fac Matemat, BR-38400902 Uberlandia, MG, Brazil

[3] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain

关键词: Pietsch domination theorem;    Absolutely summing mappings;    Banach spaces;   

DOI  :  10.1016/j.jmaa.2009.10.025

来源: Elsevier

【 摘 要 】

In this paper we prove an abstract version of Pietsch's domination theorem which unify a number of known Pietsch-type domination theorems for classes of mappings that generalize the ideal of absolutely p-summing linear operators. A final result shows that Pietsch-type dominations are totally free from algebraic conditions, such as linearity. multilinearity, etc. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free