Search results for " bounded operators"

showing 3 items of 3 documents

MR2986428 Lebedev, Leonid P.(CL-UNC); Vorovich, Iosif I.; Cloud, Michael J. Functional analysis in mechanics. Second edition. Springer Monographs in …

2014

Banach spaces Hilbert spaces bounded operators.Settore MAT/05 - Analisi Matematica
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Weyl's Theorems and Extensions of Bounded Linear Operators

2012

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 $\overline T$).

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 eigenvectorsMathematics
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A Lebesgue-type decomposition on one side for sesquilinear forms

2021

Sesquilinear forms which are not necessarily positive may have a dierent behavior, with respect to a positive form, on each side. For this reason a Lebesgue-type decomposition on one side is provided for generic forms satisfying a boundedness condition.

Settore MAT/05 - Analisi Matematicasesquilinear forms Lebesgue decomposition regularity singularity complex measures bounded operators
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