Decay properties for functions of matrices over $C^{\ast }$-algebras

Abstract

We extend previous results on the exponential off-diagonal decay of the entries of analytic functions of banded and sparse matrices to the case where the matrix entries are elements of a $C^{\ast }$-algebra.

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Cited by in corpus (4)

• Semi-Infinite Quasi-Toeplitz Matrices with Applications to QBD Stochastic Processes
• On the exponential of semi-infinite quasi-Toeplitz matrices
• On the decay of the off-diagonal singular values in cyclic reduction
• On Functions of quasi Toeplitz matrices