共查询到20条相似文献,搜索用时 140 毫秒
1.
A. A. Shcherbakov 《Mathematical Notes》1976,19(5):424-429
The smallest set is found that contains the kernel of a sequence obtained from a sequence of elements {xn} of a Banach space with the aid of a regular transformation of the class T(C, C). Here T(C, C) is the set of complex matrices (cnk) (ank+ibnk) satisfying the conditions
.Translated from Matematicheskie Zametki, Vol. 19, No. 5, pp. 707–716, May, 1976.In conclusion the author would like to express his thanks to A. A. Melentsov for his assistance and attention to the work. 相似文献
2.
N. N. Kholshchevnikova 《Mathematical Notes》1974,16(6):1126-1132
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 (cmn) (cmn=a
mn+ibmn, wherea
mn and bmn are real numbers) satisfying the conditions
and
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. 相似文献
3.
4.
N. A. Davydov 《Mathematical Notes》1972,11(4):263-265
For a preassigned unbounded sequence {Sn} of complex numbers, and preassigned complex numbers z1 and z2z1 we construct: 1) regular matrices A=ank and B=bnk such that the same bounded sequences are summable by these matrices and that
, and
; 2) regular matrices A(1))=a
nk
(1)
and B(1)=b
nk
(1)
such that B(1) A(1),
and,
. Our results show that the well known theorem of MazurOrlicz on the bounded consistency of two regular matrices, one of which is boundedly stronger than the other, is exact.Translated from Matematicheskie Zametki, Vol. 11, No. 4, pp. 431–436, April, 1972. 相似文献
5.
V. I. Shirokov 《Mathematical Notes》1973,14(6):1023-1028
Let
, where A is a directed set containing cofinal chains — a generalized sequence in a complete chain. It is established that every such sequence contains a monotonic cofinal sub-sequence. For a monotonically increasing (decreasing) bounded sequence
, by definition, we put
. For an arbitrary sequence
the (i)-limit is defined as the common (i)-limit of its monotonic cofinal sub-sequences. The properties of (i)-convergence and some of its applications to generalized sequences of mappings are discussed.Translated from Matematicheskie Zametki, Vol. 14, No. 6, pp. 809–820, December, 1973. 相似文献
6.
We show that a Banach space valued random variableX such that
t} \right\} = 0$$
" align="middle" border="0">
satisfies the central limit theorem if and only if the following criterion on small balls is fulfilled:
t} \right\} = 0$$
" align="middle" vspace="20%" border="0"> 相似文献
7.
Oto Strauch 《Monatshefte für Mathematik》1995,120(2):153-164
It is shown that the following three limits
|