6533b7d1fe1ef96bd125c490
RESEARCH PRODUCT
Weyl's Theorems and Extensions of Bounded Linear Operators
Pietro AienaMuneo ChōLingling Zhangsubject
Pure mathematicsGeneral MathematicsSpectrum (functional analysis)Extension of bounded operators Weyl type theoremsBanach spaceMultiplicity (mathematics)Extension (predicate logic)Mathematics::Spectral TheoryBounded operatorSet (abstract data type)47A1047A1147A55Settore MAT/05 - Analisi MatematicaBounded function47A53Mathematics::Representation TheoryEigenvalues and eigenvectorsMathematicsdescription
A bounded operator $T\in L(X)$, $X$ a Banach space, is said to satisfy Weyl's theorem if the set of all spectral points that do not belong to the Weyl spectrum coincides with the set of all isolated points of the spectrum which are eigenvalues and having finite multiplicity. In this article we give sufficient conditions for which Weyl's theorem for an extension $\overline T$ of $T$ (respectively, for $T$) entails that Weyl's theorem holds for $T$ (respectively, for $\overline T$).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-12-01 |