In this article, we prove a decomposition theorem for L2-convergent double sequences and introduce the notions of L2-Cauchy and L2*-Cauchy double sequence, and then study their certain properties. Finally, we introdu...In this article, we prove a decomposition theorem for L2-convergent double sequences and introduce the notions of L2-Cauchy and L2*-Cauchy double sequence, and then study their certain properties. Finally, we introduce the notions of regularly (L2,L)- convergence and (L2, L)-Cauchy double sequence.展开更多
文摘In this article, we prove a decomposition theorem for L2-convergent double sequences and introduce the notions of L2-Cauchy and L2*-Cauchy double sequence, and then study their certain properties. Finally, we introduce the notions of regularly (L2,L)- convergence and (L2, L)-Cauchy double sequence.