In this paper we study the average σ-K width and the average σ-linear width of the unit ball of l;(R) inl;(R). The exact values of these widths are calculated and an optimal subspace with the optimal linear oper...In this paper we study the average σ-K width and the average σ-linear width of the unit ball of l;(R) inl;(R). The exact values of these widths are calculated and an optimal subspace with the optimal linear opera-tor (for the σ- linear width) are identified.展开更多
主要研究了单位圆盘上l^2值D_(μ,q)函数,得到了l^2值D_(μ,q)函数的收敛性,若f(z)=sum from n=1 to∞x_nz^n∈D_(μ,q),0<μ<1,q>(2n)/μ,则对几乎所有的{ε_α}有f_ω(z)∈H~∞.这推广了标量值D_(μ,q)函数的性质,在此过程中...主要研究了单位圆盘上l^2值D_(μ,q)函数,得到了l^2值D_(μ,q)函数的收敛性,若f(z)=sum from n=1 to∞x_nz^n∈D_(μ,q),0<μ<1,q>(2n)/μ,则对几乎所有的{ε_α}有f_ω(z)∈H~∞.这推广了标量值D_(μ,q)函数的性质,在此过程中,利用了Banach空间几何学的知识.展开更多
文摘In this paper we study the average σ-K width and the average σ-linear width of the unit ball of l;(R) inl;(R). The exact values of these widths are calculated and an optimal subspace with the optimal linear opera-tor (for the σ- linear width) are identified.
文摘主要研究了单位圆盘上l^2值D_(μ,q)函数,得到了l^2值D_(μ,q)函数的收敛性,若f(z)=sum from n=1 to∞x_nz^n∈D_(μ,q),0<μ<1,q>(2n)/μ,则对几乎所有的{ε_α}有f_ω(z)∈H~∞.这推广了标量值D_(μ,q)函数的性质,在此过程中,利用了Banach空间几何学的知识.