Search results for "Affiliated operator"

showing 2 items of 2 documents

Sharp estimates for eigenfunctions of a Neumann problem

2009

In this paper we provide some bounds for the eigenfunctions of the Laplacian with homogeneous Neumann boundary conditions in a bounded domain Ω of R^n. To this aim we use the so-called symmetrization techniques and the obtained estimates are asymptotically sharp, at least in the bidimensional case, when the isoperimetric constant relative to Ω goes to 0.

Neumann eigenvaluesApplied MathematicsMathematical analysisSymmetrizationMathematics::Spectral TheoryNeumann seriessymbols.namesakeVon Neumann algebraSettore MAT/05 - Analisi MatematicaBounded functionNeumann boundary conditionsymbolsSymmetrizationAbelian von Neumann algebraIsoperimetric inequalityAffiliated operatorAnalysisMathematics
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A note on faithful traces on a von Neumann algebra

2009

In this short note we give some techniques for constructing, starting from a {\it sufficient} family $\mc F$ of semifinite or finite traces on a von Neumann algebra $\M$, a new trace which is faithful.

Pure mathematics$C^*$-moduleTrace (linear algebra)Mathematics::Operator AlgebrasGeneral MathematicsFOS: Physical sciencesMathematical Physics (math-ph)Algebrasymbols.namesakeVon Neumann's theoremVon Neumann algebraSettore MAT/05 - Analisi MatematicasymbolsAbelian von Neumann algebraAlgebra over a fieldAffiliated operatorSettore MAT/07 - Fisica MatematicaMathematical PhysicsVon Neumann architectureMathematics
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