null sequence

null sequence

[′nəl ′sē·kwəns]
(mathematics)
A sequence of numbers or functions which converges to the number zero or the zero function.
References in periodicals archive ?
Following Aliprantis and Burkinshaw we say that an operator T : X [right arrow] Y is called a Dunford-Pettis operator if for each weakly null sequence ([x.
n])[parallel] [right arrow] 0 for every weakly null sequence ([x.
1 of [2] that there is a disjoint weakly null sequence ([x.
A quasi-convex null sequence satisfies the class S if we take
T [member of] V(X,Y), if T takes weakly null sequences in X to null sequences in Y.
Denote the classes of all null sequences and weakly null sequences in X by [c.
0] be the linear spaces of bounded, convergent and null sequences x = ([x.
n]) is regular for null sequences if and only if [gamma] = 0.
b] is regular, then A is regular for null sequences.
0] be the sequence spaces of bounded, convergent and null sequences x = ([x.