On biorthogonalization of complete generalized Jordan sets of a linear operator and its adjoint in a Banach space

Title	On biorthogonalization of complete generalized Jordan sets of a linear operator and its adjoint in a Banach space
Authors	P. A. Shamanaev¹ ¹National Research Ogarev Mordovia State University
Annotation	The article presents a method of biorthogonalization of complete generalized Jordan sets of a linear operator and its adjoint in a Banach space. The method is based on fixing one set and expanding the elements of another set according to a new basis.
Keywords	linear Fredholm operators, Banach spaces, biorthogonality condition, generalized Jordan set
Citation	Shamanaev P. A. ''On biorthogonalization of complete generalized Jordan sets of a linear operator and its adjoint in a Banach space'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 14-18, 2022). Saransk: SVMO Publ, 2022. - pp. 221-224. Available at: https://conf.svmo.ru/files/2022/papers/paper35.pdf. - Date of access: 04.12.2024.