Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Uskova, Natalia B."'
We consider similarity transformations of a perturbed linear operator $A-B$ in a complex Banach space $\mathcal{X}$, where the unperturbed operator $A$ is a generator of a Banach $L_1(\mathbb{R})$-module and the perturbation operator $B$ is a bounded
Externí odkaz:
http://arxiv.org/abs/2404.01227
We describe a closed operator functional calculus in Banach modules over the group algebra $L^1(\mathbb R)$ and illustrate its usefulness with a few applications. In particular, we deduce a spectral mapping theorem for operators in the functional cal
Externí odkaz:
http://arxiv.org/abs/2007.15530
We develop the method of similar operators to study the spectral properties of unbounded perturbed linear operators that can be represented by matrices of various kinds. The class of operators under consideration includes various differential operato
Externí odkaz:
http://arxiv.org/abs/1812.10331
We use the method of similar operators to study a general Dirac operator $L$ and its spectral properties. We find a similar operator to the Dirac operator that is an orthogonal direct sum of simpler operators. The result is used to describe an operat
Externí odkaz:
http://arxiv.org/abs/1806.10831
We use the method of similar operators to study a mixed problem for a differential equation with an involution and an operator-valued potential function. The differential operator defined by the equation is transformed into a similar operator that is
Externí odkaz:
http://arxiv.org/abs/1806.04109
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 September 2019 477(2):930-960
