Growth rates and the peripheral spectrum of positive operators

J Glück - arXiv preprint arXiv:1512.07483, 2015 - arxiv.org
Let $ T $ be a positive operator on a complex Banach lattice. It is a long open problem
whether the peripheral spectrum $\sigma_ {\operatorname {per}}(T) $ of $ T $ is always …

[HTML][HTML] Elliptical higher rank numerical range of some Toeplitz matrices

M Adam, A Aretaki, IM Spitkovsky - Linear Algebra and its Applications, 2018 - Elsevier
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[PDF][PDF] Perron-Frobenius theory on the higher-rank numerical range for some classes of real matrices

M Zangiabadi, H Afshin - Journal of Mahani Mathematical Research, 2021 - academia.edu
We present an extension of Perron-Frobenius theory to the higher-rank numerical range of
real matrices. We define a new type of the rank-k numerical radius for real matrices, ie, the …

Generalizations of numerical range of matrix polynomials

A Aretaki, J Maroulas - mattriad2011.ipt.pt
Generalizations of numerical range of matrix polynomials References Page 1
Generalizations of numerical range of matrix polynomials Aikaterini Aretaki and John …