收敛自由空间到序列空间l_p(1<p<∞)无穷矩阵变换集的有界性

Boundedness of the Set of Infinite Matrix Transformations from Convergence-free Space to Sequence Spacesl_p(1<p<∞)

研究了从收敛自由空间到序列空间lp(1<p<∞)的无穷矩阵变换有界集的特征.给出从一般的收敛自由空间到序列空间lp(1<p<∞)的无穷矩阵变换的一般形式,并进一步指出完全收敛自由空间无穷矩阵变换的一般表达式具有简捷的形式.

We investigate boundedness of the set of infinite matrix transformations from convergence-free space to sequence spaces lp（1〈p〈∞）. Especially, we get the general forms of infinite matrix trans formations from convergence-free space to sequence spaces lp（1〈p〈∞）. Furthermore, we get the con clusion that the general forms of infinite matrix transformations from perfect convergence-free space to it self have a simple style.