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# Cyclical elements of operators which are left-inverses to multiplication by an independent variable

### Abstract

We study properties of operators which are left-inverses to the operator of multiplication by an independent variable in the space $\mathcal H (G)$ of functions that are analytic in an arbitrary domain $G$. This space is endowed with topology of compact convergence. A description of cyclic elements for such operators is obtained. The obtained statements generalize known results in this direction.

### Article Information

 Title Cyclical elements of operators which are left-inverses to multiplication by an independent variable Source Methods Funct. Anal. Topology, Vol. 12 (2006), no. 4, 384-388 MathSciNet MR2279874 Copyright The Author(s) 2006 (CC BY-SA)

### Authors Information

Yu. S. Linchuk
Chernivtsi National University, 2 Kotsyubynskogo, Chernivtsi, 58012, Ukraine

### Citation Example

Yu. S. Linchuk, Cyclical elements of operators which are left-inverses to multiplication by an independent variable, Methods Funct. Anal. Topology 12 (2006), no. 4, 384-388.

### BibTex

@article {MFAT381,
AUTHOR = {Linchuk, Yu. S.},
TITLE = {Cyclical elements of operators which are left-inverses to multiplication by an independent variable},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {12},
YEAR = {2006},
NUMBER = {4},
PAGES = {384-388},
ISSN = {1029-3531},
MRNUMBER = {MR2279874},
URL = {http://mfat.imath.kiev.ua/article/?id=381},
}