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.
Full Text
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},
}
