abstract:In mathematics, the uniform boundedness principle or Banach–Steinhaus theorem is one of the fundamental results in functional analysis. Together with the Hahn–Banach theorem and the open mapping theorem, it is considered one of the cornerstones of the field.
The randomprincipleofuniform boundednesswill be also to devoted to the possibleofapplications of random functionalanalysisandprobability theory, as a newtool.