曲线的夹角与值域核补
The angle along a curve and range-kernel complementarity
摘要：
本文定义了有界线性算子$A$沿从原点出发的无界路径的角，并利用它刻画了值域核互补性。特别是，我们表明，如果$0$面临的无界组件的预解集，然后$X=R(A)\oplus N(A)$当且仅当$R(A)$是封闭的，某些角度的$A$是小于$π$。
英文摘要：
In this paper, we define the angle of a bounded linear operator $A$ along an unbounded path emanating from the origin and use it to characterize range-kernel complementarity. In particular we show that if $0$ faces the unbounded component of the resolvent set, then $X=R(A)\oplus N(A)$ if and only if $R(A)$ is closed and some angle of $A$ is less than $π$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
