14 citations · 23 across the 7 of their papers we have counts for
12 papers
Some Generalized Numerical Ranges of Real-linear Operators on Hilbert Spaces
Arup Majumdar, Vladimir Muller
This paper introduces and systematically investigates several classes of numerical ranges associated with real-linear operators on Hilbert spaces, including the essential numerical…
On growth and instability for semilinear evolution equations: an abstract approach
Vladimir Müller, Roland Schnaubelt, Yuri Tomilov
We propose a new approach to the study of (nonlinear) growth and instability for semilinear evolution equations with compact nonlinearities. We show, in particular, that compact no…
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…
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…
Kreiss bounded and uniformly Kreiss bounded operators
A. Bonilla, V. Müller
If is a Kreiss bounded operator on a Banach space, then . Forty years ago Shields conjectured that in Hilbert spaces, . A negative answer t…
Joint numerical ranges and compressions of powers of operators
Vladimir Muller, Yuri Tomilov
We identify subsets of the joint numerical range of an operator tuple in terms of its joint spectrum. This result helps us to transfer weak convergence of operator orbits into cert…