0000000000854265

AUTHOR

Caterina La Russa

showing 4 related works from this author

Radon-Nikodym theorem in quasi *-algebras

2013

In this paper some properties of continuous representable linear functionals on a quasi $*$-algebra are investigated. Moreover we give properties of operators acting on a Hilbert algebra, whose role will reveal to be crucial for proving a Radon-Nikodym type theorem for positive linear functionals.

Radon–Nikodym theoremPure mathematicsAlgebra and Number TheorySettore MAT/05 - Analisi MatematicaMathematical analysisRadon–Nikodym theorem for positive linear functionals.MathematicsJournal of Operator Theory
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Rademacher Theorem for Fréchet spaces

2010

Abstract Let X be a separable Frechet space. In this paper we define a class A of null sets in X that is properly contained in the class of Aronszajn null sets, and we prove that a Lipschitz map from an open subset of X into a Gelfand-Frechet space is Gateaux differentiable outside a set belonging to A. This is an extension to Frechet spaces of a result (see [PZ]) due to D. Preiss and L. Zajicek.

Discrete mathematicsNull (mathematics)Space (mathematics)Lipschitz continuitySeparable spaceCombinatoricsRademacher's theoremMathematics (miscellaneous)Fréchet spaceSettore MAT/05 - Analisi MatematicaDifferentiable functionMetric differentialMathematicsLipschitz maps Gateaux differentiability Rademacher theorem.
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A decomposition theorem for σ-P-directionally porous sets in Fréchet spaces

2007

In this paper we study suitable notions of porosity and directional porosity in Fréchet spaces. Moreover we give a decomposition theorem for $\sigma$-$\mathcal{P}$-directionally porous sets.

Settore MAT/05 - Analisi Matematicalcsh:MathematicsDifferentiability of Lipschitz maps null setslcsh:QA1-939
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Differentiability of Lipschitz maps

2010

Lipschitz maps Gateaux-differentiability null sets in Banach spaces.
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