4 citations · 4 across the 3 of their papers we have counts for
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On a class of H-selfadjont random matrices with one eigenvalue of nonpositive type
Michal Wojtylak
Large H-selfadjoint random matrices are considered. The matrix is assumed to have one negative eigenvalue, hence the matrix in question has precisely one eigenvalue of nonposit…
Eigenvalues of rank one perturbations of unstructured matrices
A. C. M. Ran, M. Wojtylak
Let be a fixed complex matrix and let be two vectors. The eigenvalues of matrices form a system of intersecting curves. The dependence of…
On determining the domain of the adjoint operator
Michal Wojtylak
A theorem that is of aid in computing the domain of the adjoint operator is provided. It may serve e.g. as a criterion for selfadjointness of a symmetric operator, for normality of…
Pontryagin Space Structure in Reproducing Kernel Hilbert Spaces over *-semigroups
Franciszek Hugon Szafraniec, Michal Wojtylak
The geometry of spaces with indefinite inner product, known also as Krein spaces, is a basic tool for developing Operator Theory therein. In the present paper we establish a link b…