Abstract
The article is devoted to extensions of linear functionals, generated by scalar products, in a scale of Hilbert spaces. Such extensions are used to consider non-symmetrically singular rank one perturbations of ${\mathcal H}_{-2}$-class. For comparison, we give main definitions and descriptions of singular non-symmetric perturbations of ${\mathcal H}_{-1}$ and ${\mathcal H}_{-2}$-classes.
Key words: Scale of Hilbert spaces, functional, rigged Hilbert spaces, singular perturbations.
Full Text
Article Information
| Title | On extensions of linear functionals with applications to non-symmetrically singular perturbations |
| Source | Methods Funct. Anal. Topology, Vol. 24 (2018), no. 3, 193-206 |
| MathSciNet |
MR3860802 |
| Milestones | Received 03/06/2018; Revised 24/06/2018 |
| Copyright | The Author(s) 2018 (CC BY-SA) |
Authors Information
M. Dudkin
National Technical University of Ukraine (KPI), 37 Peremogy Av., Kyiv, 03056, Ukraine
T. Vdovenko
National Technical University of Ukraine (KPI), 37 Peremogy Av., Kyiv, 03056, Ukraine
Citation Example
Mykola Dudkin and Tetiana Vdovenko, On extensions of linear functionals with applications to non-symmetrically singular perturbations, Methods Funct. Anal. Topology 24
(2018), no. 3, 193-206.
BibTex
@article {MFAT1082,
AUTHOR = {Mykola Dudkin and Tetiana Vdovenko},
TITLE = {On extensions of linear functionals with applications to non-symmetrically singular perturbations},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {24},
YEAR = {2018},
NUMBER = {3},
PAGES = {193-206},
ISSN = {1029-3531},
MRNUMBER = {MR3860802},
URL = {http://mfat.imath.kiev.ua/article/?id=1082},
}
