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arXiv · 1908.02998

Equations of the first kind and the inversion of series of resolvents of a closed operator

A. R. Mirotin
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Abstract

Let $A$ be a densely defined closed operator in a complex Banach space $X.$ Conditions for left invertibility of operators of the form $\sum_{j=1}^\infty a_j (\alpha_j -A)^{-1}$ are given. Several examples are considered.

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A. R. Mirotin. 2019-08-08. Equations of the first kind and the inversion of series of resolvents of a closed operator. https://arxiv.org/abs/1908.02998

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