A unified Pietsch domination theorem

作者:Botelho Geraldo; Pellegrino Daniel*; Rueda Pilar
来源:Journal of Mathematical Analysis and Applications, 2010, 365(1): 269-276.
DOI:10.1016/j.jmaa.2009.10.025

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.

  • 出版日期2010-5-1