6. Issue # 3

Fundamental properties of fractional powers of unbounded operators in Banach spaces

Belonosov Vladimir Sergeevich
Scopus Author ID: 56627775300
1. Sobolev Institute of Mathematics, Siberian Branch Russian Academy of Sciences, Novosibirsk, Russia
bvs@math.nsc.ru
Shvets Alexey Georgievich
1. Novosibirsk State University, Novosibirsk, Russia
a.shvets1@g.nsu.ru
The material was received by the Editorial Board: 29.05.2024

In this paper, the classical theory of operator-valued analytic functions is extended to a wide class of linear unbounded operators, defined in Banach spaces on not everywhere dense sets. The properties of fractional powers of the corresponding operators are also established. The class under consideration includes Sturm--Liouville differential operators with homogeneous Dirichlet boundary conditions, acting in spaces of continuous functions on bounded intervals

УДК 517.9

Fundamental properties of fractional powers of unbounded operators in Banach spaces
Read more

Keywords: Abstract Mathieu--Hill equations, reduction to standard form, operator exponentials and fractional powers, parametric resonance.


References: Belonosov V. S. , Shvets A. G. Fundamental properties of fractional powers of unbounded operators in Banach spaces. Mat. Trudy. 2024, 27, № 3. P. 20–29. DOI: 10.25205/1560-750X-2024-27-3-20-29