Single-valued extension property at the points of the approximate point spectrum
46 citations recorded by the source corpus.
Abstract A localized version of the single-valued extension property is studied at the points which are not limit points of the approximate point spectrum, as well as of the surjectivity spectrum. In particular, we shall characterize the single-valued extension property at a point λ o ∈ C in the case that λoI−T is of Kato type. From this characterizations we shall deduce several results on cluster points of some distinguished parts of the spectrum.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f3fa8afbaa82dcf0d464aed189c7764523e2ed5f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- Classes of operators satisfying a-Weyl's theorem (2005, background): “We shall consider a local version of this property, which has been studied in recent papers [3], [4], [6], and previously by Finch [20] and Mbekhta [29].”
- Additive Maps Preserving Local Spectrum (2006, background): “The localization of the single-valued extension property has been widely studied by various authors (see [2], [3], [ 4 ], and the references contained therein).”