摘要
在第二纲的赋准范空间上,证明了可加算子族在拟有界集上的一致有界性.在不受局部拟有界条件限制下,把赋准范空间上可加算子族的一致有界性原理进一步推广,使其应用范围得到扩展.
<Abstrcat> The uniform boundedness of additive operator family is proved on psuedo-bounded set of the second category quasi-normed space . Uniform boundedness principle of additive operator family is expanded on quasi-normed space of evading the straitening conditions of 'local psuedo-boundedness'. Thus, the uniform boundedness principle will be applied to a widened scope.
出处
《天津师范大学学报(自然科学版)》
CAS
2005年第2期42-44,共3页
Journal of Tianjin Normal University:Natural Science Edition
关键词
拟有界集
第二纲
赋准范空间
赋Β-范空间
psuedo-bounded set
the second category
quasi-normed space
β-normed space