Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772428 | Journal of Functional Analysis | 2017 | 35 Pages |
Abstract
Rank two parametric perturbations of operators and matrices are studied in various settings. In the finite dimensional case the formula for a characteristic polynomial is derived and the large parameter asymptotics of the spectrum is computed. The large parameter asymptotics of a rank one perturbation of singular values and condition number are discussed as well. In the operator case the formula for a rank two transformation of the spectral measure is derived and it appears to be the t-transformation of a probability measure, studied previously in the free probability context. New transformation of measures is studied and several examples are presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Anna Kula, MichaÅ Wojtylak, Janusz WysoczaÅski,