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

TitleOn biorthogonalization of complete generalized Jordan sets of a linear operator and its adjoint in a Banach space
AuthorsP. A. Shamanaev1
1National Research Ogarev Mordovia State University
AnnotationThe 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.
Keywordslinear Fredholm operators, Banach spaces, biorthogonality condition, generalized Jordan set
CitationShamanaev 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: 30.11.2022.