The characterizations of the stable perturbation of a closed operator by a linear operator in Banach spaces
| Autor: | Yifeng Xue, Fapeng Du |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
15A09
47A55 Numerical Analysis Pure mathematics Algebra and Number Theory Generalized inverse Banach space Perturbation (astronomy) Numerical Analysis (math.NA) Functional Analysis (math.FA) Linear map Mathematics - Functional Analysis FOS: Mathematics Discrete Mathematics and Combinatorics Geometry and Topology Mathematics - Numerical Analysis Mathematics |
| Popis: | In this paper, we investigate the invertibility of $I_Y+\delta TT^+$ when $T$ is a closed operator from $X$ to $Y$ with a generalized inverse $T^+$ and $\delta T$ is a linear operator whose domain contains $D(T)$ and range is contained in $D(T^+)$. The characterizations of the stable perturbation $T+\delta T$ of $T$ by $\delta T$ in Banach spaces are obtained. The results extend the recent main results of Huang's in Linear Algebra and its Applications. Comment: 9 pages, accepted by Linear Algebra and its Applications |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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