Perturbation analysis of $A_{T,S}^{(2)}$ on Banach spaces
| Autor: | Yifeng Xue, Fapeng Du |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Condensed Matter::Quantum Gases
15A09 47A55 Algebra and Number Theory High Energy Physics::Lattice Banach space Perturbation (astronomy) Numerical Analysis (math.NA) Linear subspace Mathematics - Spectral Theory FOS: Mathematics High Energy Physics::Experiment Mathematics - Numerical Analysis Spectral Theory (math.SP) Mathematical physics Mathematics |
| Popis: | In this paper, the perturbation problems of $A_{T,S}^{(2)}$ are considered. By virtue of the gap between subspaces, we derive the conditions that make the perturbation of $A_{T,S}^{(2)}$ is stable when $T,S$ and $A$ have suitable perturbations. At the same time, the explicit formulas for perturbation of $A_{T,S}^{(2)}$ and new results on perturbation bounds are obtained. 13 pages, Electronic Journal of Linear Algebra (accepted) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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