On -stability of evolution operators in Banach spaces
โ Scribed by Andrea Amalia Minda; Mihail Megan
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 217 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
โฆ Synopsis
The main aim of this work is to define and exemplify various stability concepts and to emphasize connections between them. These stability concepts are included in a general concept, the so-called (h, k)-stability. We motivate our approach with illustrative examples.
๐ SIMILAR VOLUMES
Let \(A \in \mathscr{L}(E)\) be a contraction. The famous Katznelson-Tzafriri theorem [11. Theorem 1] states that the spectral condition \(\sigma(A) \cap \Gamma \subseteq\{1\}\) is equivalent to the convergence of the orbit \(\left\{A^{n}(A-I): n=1,2, \ldots\right\}\) in norm to zero. Assume that th