NECESSARY AND SUFFICIENT CONDITIONS FOR THE INVERTIBILITY OF PIECEWISE-AUTONOMOUS DIFFERENCE OPERATORS IN THE SPACE OF BOUNDED TWO-SIDED SEQUENCES

V. Yu Slyusarchuk

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NECESSARY AND SUFFICIENT CONDITIONS FOR THE INVERTIBILITY OF PIECEWISE-AUTONOMOUS DIFFERENCE OPERATORS IN THE SPACE OF BOUNDED TWO-SIDED SEQUENCES

机译：在有界双面序列空间中分段 - 自主差分运算符可处可处处于必要的和充分条件

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摘要

We establish necessary and sufficient conditions for the invertibility of linear difference operators with piecewise constant coefficients in the space of bounded two-sided sequences.

机译：我们为在有界双面序列空间中具有分段恒定系数的线性差分算子的可逆性和充分条件。

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来源
《Journal of Mathematical Sciences 》 |2021年第5期| 663-688| 共26页
作者
V. Yu Slyusarchuk;
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作者单位

National University of Water Management and Utilization of Natural Resources Soborna Str. 11 Rivne 33000 Ukraine;

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正文语种 eng
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1. Conditions for the invertibility of the nonlinear difference operator (?x) (n) = H(x(n),x(n+1)), n ε ? in the space of bounded number sequences [J] . Slyusarchuk V.E. Sbornik. Mathematics . 2009 ,第1a2期

机译：非线性差分算子（？x）（n）= H（x（n），x（n + 1）），nε？在有界数序列的空间中
2. SOLVABILITY OF DIFFERENCE EQUATIONS WITH NONUNIFORMLY CONTRACTING OPERATORS IN THE SPACE OF TWO-SIDED SEQUENCES [J] . V. Yu. Slyusarchuk Journal of Mathematical Sciences . 2019 ,第3期

机译：两序列序列空间中具有非一致约束算子的微分方程的可解性
3. NONLINEAR DIFFERENCE EQUATIONS IN THE SPACES OF BOUNDED TWO-SIDED SEQUENCES [J] . V. Yu. Slyusarchuk Journal of Mathematical Sciences . 2013 ,第4期

机译：有界两边序列空间中的非线性差分方程
4. The positivity of the second order difference operator with periodic conditions in H?lder spaces and its applications [C] . Allaberen Ashyralyev, Fatih Sabahattin Tetikoglu International Conference on Analysis and Applied Mathematics . 2014

机译：二阶差分运算符的正阳性与H·赖尔空间的周期性条件及其应用
5. Invariant subspace problem and spectral properties of bounded linear operators on Banach spaces, Banach lattices, and topological vector spaces [D] . Troitsky, Vladimir G. 1999

机译：Banach空间，Banach格和拓扑矢量空间上有界线性算子的不变子空间问题和谱性质
6. Local two-sided bounds for eigenvalues of self-adjoint operators [O] . G. R. Barrenechea, L. Boulton, N. Boussaïd -1

机译：自伴算子特征值的局部两侧界
7. Necessary and sufficient conditions for invertibility of operators in spaces of real interpolation [O] . Asekritova Irina, Kruglyak Natan 2013

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NECESSARY AND SUFFICIENT CONDITIONS FOR THE INVERTIBILITY OF PIECEWISE-AUTONOMOUS DIFFERENCE OPERATORS IN THE SPACE OF BOUNDED TWO-SIDED SEQUENCES

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