Limits of indeterminacy of sequences obtained from a given sequence using a regular transformation期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Limits of indeterminacy of sequences obtained from a given sequence using a regular transformation

Authors:	N N Kholshchevnikova

Institution:	(1) V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR, USSR

Abstract:	The problem considered is how there can be a set of weak accumulation points of the subsequences of a sequence obtained from a given sequence by using a regular transformation of the class T(C, C) when the terms of the sequences are elements of a reflexive Banach space. T(C, C) denotes the class of complex regular matrices (c_mn) (c_mn=a _mn+ib_mn, wherea _mn and b_mn are real numbers) satisfying the conditions $\mathop {\overline {\lim } }\limits_{m \to \infty } \sum\nolimits_{n - 0}^\infty {\|a_{mn} \| = C}$ and $\mathop {\overline {\lim } }\limits_{m \to \infty } \sum\nolimits_{n - 0}^\infty {\|b_{mn} \| = C}$ Translated from Matematicheskie Zametki, Vol. 16, No. 6, pp. 887–897, December, 1974.In conclusion the author thanks D. E. Men'shov for his help and interest, and S. B. Stechkin for valuable advice.

Keywords:
本文献已被 SpringerLink 等数据库收录！