摘要
在Hilbert空间中讨论拟g-Riesz基、拟Riesz基及拟g-Riesz基与g-Besselian框架的关系.证明了由g-框架{Λj}j∈J导出的序列{ujk}j∈J,k∈Kj为拟Riesz基并非{Λj}j∈J为拟g-Riesz基的充要条件,并得到拟g-Riesz基与g-Besselian框架不具有类似于拟Riesz基与Besselian框架的等价关系.
The relations among near g-Riesz bases and near Riesz bases,near g-Riesz bases and g-Besselian frames were discussed.That a sequence {Λj}j∈J was a near g-Riesz basis was not the necessary and sufficient condition for the sequence {ujk}j∈J,k∈Kj induced by {Λj}j∈J being a near Riesz basis was proved.That a near g-Riesz basis was not equivalent to a g-Besselian frame was also obtained.
出处
《福建农林大学学报（自然科学版）》
CSCD
北大核心
2010年第6期664-667,共4页
Journal of Fujian Agriculture and Forestry University:Natural Science Edition
基金
福建农林大学青年教师科研基金资助项目(07B23)
