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RESEARCH PRODUCT

On essential spectra of operator-matrices and their Feshbach maps

Joseph P. Lutgen

subject

Theoretical physicsApplied MathematicsEssential spectrumDiagonal matrixMathematical analysisSpectrum (functional analysis)Banach spaceOperator theoryTransfer functionAnalysisSpectral lineConnection (mathematics)Mathematics

description

Abstract A connection between the essential spectrum of certain operator-matrices and essential spectra of the corresponding “Feshbach maps” is discussed and applied to some concrete rational operator-valued functions.

10.1016/j.jmaa.2003.08.025http://dx.doi.org/10.1016/j.jmaa.2003.08.025