Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...

We are concerned with the numerical solution of the eigenvalue problem Tφ = λφ, φ ≠ 0, where T is a linear operator in a Banach space. T may represent a bounded integral operator or a closed ...

This is a preview. Log in through your library . Abstract This is a review of a coherent body of knowledge, which perhaps deserves the name of the geometric spectral theory of positive linear ...

Abstract: We present a spectral analysis of a continuous scaling algorithm for matrix scaling and operator scaling. The main result is that if the input matrix or operator has a spectral gap, then a ...