6533b82bfe1ef96bd128d6df

RESEARCH PRODUCT

Ulam Stability for the Composition of Operators

Ioan RaşaAna Maria Acu

subject

Pure mathematicsPhysics and Astronomy (miscellaneous)General MathematicsOpen problemBanach space02 engineering and technology01 natural sciencesStability (probability)closed linear subspacescomposition of operators0202 electrical engineering electronic engineering information engineeringComputer Science (miscellaneous)0101 mathematicsNonlinear Sciences::Pattern Formation and SolitonsMathematicsMathematics::Functional AnalysisSemigrouplcsh:Mathematics010102 general mathematicsUlam stabilityComposition (combinatorics)lcsh:QA1-939Nonlinear Sciences::Chaotic Dynamics<i>C</i><sub>0</sub>-semigroupsTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESChemistry (miscellaneous)Computer Science::Programming Languages020201 artificial intelligence & image processing

description

Working in the setting of Banach spaces, we give a simpler proof of a result concerning the Ulam stability of the composition of operators. Several applications are provided. Then, we give an example of a discrete semigroup with Ulam unstable members and an example of Ulam stable operators on a Banach space, such that their sum is not Ulam stable. Another example is concerned with a C 0 -semigroup ( T t ) t &ge

yearjournalcountryeditionlanguage
2020-07-01Symmetry
10.3390/sym12071159http://dx.doi.org/10.3390/sym12071159