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math.FA2022
Matrix representations of arbitrary bounded operators on Hilbert spaces
Vladimir Müller, Yuri Tomilov
We show that under natural and quite general assumptions, a large part of a matrix for a bounded linear operator on a Hilbert space can be preassigned. The result is obtained in a…
math.FA2022
On some aspects of spectral theory for infinite bounded non-negative matrices in max algebra
Vladimir Müller, Aljoša Peperko
Several spectral radii formulas for infinite bounded nonnegative matrices in max algebra are obtained. We also prove some Perron-Frobenius type results for such matrices. In partic…