Критерий разрешимости и представление решений линейных n (d)-нормальных операторных уравнений в банаховом пространстве

ВФ Журавлев - Український математичний журнал, 2010 - dspace.nbuv.gov.ua
On the basis of a generalization of the well-known Schmidt lemma to the case of n-normal
and d-normal linear bounded operators in a Banach space, we propose constructions of …

Solvability criterion and representation of solutions of n-normal and d-normal linear operator equations in a Banach space

VF Zhuravlev - Ukr. Mat., Zh, 2010 - umj.imath.kiev.ua
On the basis of a generalization of the well-known Schmidt lemma to the case of n-normal
and d-normal linear bounded operators in a Banach space, we propose constructions of …

[PDF][PDF] Нормально разрешимые операторные уравнения в банаховом пространстве

АА Бойчук, ВФ Журавлев… - Український …, 2013 - irbis-nbuv.gov.ua
On the basis of a generalization of the well-known Schmidt lemma to the case of linear,
bounded, normally solvable operators in Banach spaces, we propose a procedure for the …

Normally solvable operator equations in a Banach space

AA Boichuk, VF Zhuravlev, AA Pokutnyi - Ukrainian Mathematical Journal, 2013 - Springer
On the basis of generalization of the well-known Schmidt lemma to the case of linear
bounded normally solvable operators in Banach spaces, we propose a procedure for the …

[引用][C] Regularizability of inverse linear operators in Banach spaces with bases

MI Ostrovskii - Siberian Mathematical Journal, 1992 - Springer
Let X and Y be infinite-dimensional Banach spaces. We will denote the set of the continuous
linear operators that act from X into Y by L (X, Y) and the set of injective operators by L0 (X …

Linear differential operators and operator matrices of the second order

AG Baskakov, LY Kabantsova, ID Kostrub… - Differential …, 2017 - Springer
Linear differential operators (equations) of the second order in Banach spaces of vector
functions defined on the entire real axis are studied. Conditions of their invertibility are given …

Решение нормально разрешимых операторных уравнений в гильбертовом пространстве

ВФ Журавлев - Нелінійні коливання, 2012 - dspace.nbuv.gov.ua
We find a formula for a unique pseudoinverse operator to a normally solvable equation in a
Hilbert space, as well as existence conditions and a representation of a single solution of the …

Интегро-дифференциальные уравнения в банаховых пространствах и аналитические разрешающие семейства операторов

ВЕ Фёдоров, АД Годова - Современная математика …, 2023 - mathnet.ru
Исследуется класс уравнений в банаховых пространствах с интегро-
дифференциальным оператором типа Римана—Лиувилля с операторнозначным …

[引用][C] On sufficient conditions for the existence of supports to sublinear operators

MM Fel'dman - Siberian Mathematical Journal, 1975 - Springer
One of the directions of generalization of the Hahn-Banach theorem on the extension of a
linear functional majorized by a sublinear functional is the study of sublinear operators …

Conditions of solvability and representation of the solutions of equations with operator matrices

VF Zhuravlev, NP Fomin, PN Zabrodskiy - Ukr. Mat. Zh, 2019 - umj.imath.kiev.ua
We propose new methods for the construction of generalized inverse operator matrices for
the operator matrices in Banach spaces. The solvability criteria and the formulas for …