0000000000319520

AUTHOR

Michael M. Neumann

showing 2 related works from this author

On the stability of the localized single-valued extension property under commuting perturbations

2013

This article concerns the permanence of the single-valued extension property at a point under suitable perturbations. While this property is, in general, not preserved under sums and products of commuting operators, we obtain positive results in the case of commuting perturbations that are quasi-nilpotent, algebraic, or Riesz operators.

SVEP quesi-nilpotent operatorsProperty (philosophy)Settore MAT/05 - Analisi MatematicaApplied MathematicsGeneral MathematicsMathematical analysisExtension (predicate logic)Operator theoryStability (probability)MathematicsProceedings of the American Mathematical Society
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Automatic continuity of generalized local linear operators

1980

In this note, we present a general automatic continuity theory for linear mappings between certain topological vector spaces. The theory applies, in particular, to local operators between spaces of functions and distributions, to algebraic homomorphisms between certain topological algebras, and to linear mappings intertwining generalized scalar operators.

Discrete mathematicsPure mathematicsGeneral MathematicsLocally convex topological vector spaceTopological tensor productDiscontinuous linear mapSpectral theoremOperator theoryTopological spaceTopological vector spaceContinuous linear operatorMathematicsManuscripta Mathematica
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