On the spectral radius of functional operators

被引:1
作者
Soldatov, A. P. [1 ]
机构
[1] Belgorod State Univ, Natl Res Univ, Belgorod, Russia
关键词
spectral radius; shift operator; functional operator; weighted Holder space; weighted Lebesgue space; shift;
D O I
10.1134/S0001434616070129
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An estimate of the spectral radius of functional operators generated by operators of multiplication and shift operators in the space of continuous vector functions on the interval is given. It is assumed that shifts have fixed points only at both ends of the interval and belong to one type, i.e., they are either left or right shifts.
引用
收藏
页码:132 / 138
页数:7
相关论文
共 5 条
  • [1] [Anonymous], 1965, EXPANSION EIGENFUNCT
  • [2] Rudin W., 1973, FUNCTIONAL ANAL, Vsecond
  • [3] Soldatov A. P., 2005, NONCL EQ MATH PHYS P, P297
  • [4] Soldatov A. P., 1991, ONE DIMENSIONAL SING
  • [5] Zhura N. A., 2003, SPECTR THEOR DIFF OP, V1, P124