Search results for "composition of operators"

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A C0-Semigroup of Ulam Unstable Operators

2020

The Ulam stability of the composition of two Ulam stable operators has been investigated by several authors. Composition of operators is a key concept when speaking about C0-semigroups. Examples of C0-semigroups formed with Ulam stable operators are known. In this paper, we construct a C0-semigroup (Rt)t&ge

Pure mathematicsPhysics and Astronomy (miscellaneous)General MathematicsMathematicsofComputing_GENERAL02 engineering and technology01 natural sciencesStability (probability)Domain (mathematical analysis)Chebyshev expansion0103 physical sciencescomposition of operatorsData_FILES0202 electrical engineering electronic engineering information engineeringComputer Science (miscellaneous)Infinitesimal generatorC0-semigroupNonlinear Sciences::Pattern Formation and SolitonsMathematicsMathematics::Functional Analysis010308 nuclear & particles physicsSemigroupMathematics::Operator Algebraslcsh:MathematicsUlam stabilityComposition (combinatorics)lcsh:QA1-939Nonlinear Sciences::Chaotic Dynamics<i>C</i><sub>0</sub>-semigroupsTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESChemistry (miscellaneous)Chebyshev expansion020201 artificial intelligence & image processingSymmetry
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Ulam Stability for the Composition of Operators

2020

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

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 processingSymmetry
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