REPRESENTATION THEOREMS FOR OPERATORS OF TYPE lp,qv,ω,ψ AND Sω,ψ

被引:0
作者
Gupta, M. [1 ]
Acharya, L. R. [1 ]
机构
[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India
关键词
Approximation numbers; sequence spaces;
D O I
10.3336/gm.43.2.13
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let 0 < p, q <= infinity, and Psi : [0,infinity) -> [0, infinity) be a continuous, strictly increasing, subadditive function which satisfies Psi(0) = 0. For sequences v = {v(n)}, omega = {omega(n)} of positive numbers we define sequence classes l(p,q)(v,omega,Psi) and S-omega,S-Psi and give representation theorems for an operator of type l(p,q)(v,omega,Psi) and S-omega,S-Psi.
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页码:423 / 437
页数:15
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