Cyclic Vectors and Invariant Subspaces of the Backward Shift Operator in Schwartz Modules

被引:0
作者
O. A. Ivanova
S. N. Melikhov
机构
[1] Institute of Mathematics,
[2] Mechanics and Computer Sciences,undefined
[3] Southern Federal University,undefined
[4] Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences,undefined
来源
Functional Analysis and Its Applications | 2022年 / 56卷
关键词
backward shift operator; cyclic vector; invariant subspace; Schwartz module; Duhamel product;
D O I
暂无
中图分类号
学科分类号
摘要
引用
收藏
页码:188 / 198
页数:10
相关论文
共 23 条
[1]  
Ivanova O. A.(2017)On the completeness of orbits of a Pommiez operator in weighted (LF)-spaces of entire functions Complex Anal. Oper. Theory 11 1407-1424
[2]  
Melikhov S. N.(2019)On invariant subspaces of the Pommiez operator in spaces of entire functions of exponential type J. Math. Sci. 241 760-769
[3]  
Ivanova O. A.(1966)Convolution approximation and shift approximation Studia Math. 28 1-8
[4]  
Melikhov S. N.(2004)Closed ideals in J. Math. Anal. Appl. 300 297-302
[5]  
Mikusiński J.(1979) with Duhamel product as multiplication Usp. Mat. Nauk 34 97-131
[6]  
Karaev M. T.(1988)Compact families of locally convex topological vector spaces, Fréchet–Schwartz and dual Fréchet–Schwartz spaces Ark. Mat. 26 265-287
[7]  
Zharinov V. V.(2014)Whitney’s extension theorem for ultradifferentiable functions of Beurling type Ufimsk. Mat. Zh. 6 17-27
[8]  
Meise R.(1934)On A. F. Leont’ev’s interpolating function Trans. Amer. Math. Soc. 36 63-89
[9]  
Tayhor B. A.(1993)Analytic extensions of differentiable functions defined in closed sets Ann. Inst. Fourier 43 1223-1251
[10]  
Ivanova O. A.(2018)Remarks on Holmgren‘s uniqueness theorem Vladikavkaz. Mat. Zh. 20 48-56