TY - JOUR
AU - Burtnyak, I.
AU - Chernega, I.
AU - Hladkyi, V.
AU - Labachuk, O.
AU - Novosad, Z.
PY - 2021/12/11
Y2 - 2023/06/08
TI - Application of symmetric analytic functions to spectra of linear operators
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 13
IS - 3
SE - Scientific articles
DO - 10.15330/cmp.13.3.701-710
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/5563
SP - 701-710
AB - The paper is devoted to extension of the theory of symmetric analytic functions on Banach sequence spaces to the spaces of nuclear and $p$-nuclear operators on the Hilbert space. We introduced algebras of symmetric polynomials and analytic functions on spaces of $p$-nuclear operators, described algebraic bases of such algebras and found some connection with the Fredholm determinant of a nuclear operator. In addition, we considered cases of compact and bounded normal operators on the Hilbert space and discussed structures of symmetric polynomials on corresponding spaces.
ER -