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Left and right generalized drazin invertible operators on banach spaces and applications
(Element, 2019-09)
In this paper, left and right generalized Drazin invertible operators on Banach spaces are defined and characterized by means of the generalized Kato decomposition. Then, new binary relations associated with these operators ...
Concrete minimal 3 × 3 Hermitian matrices and some general cases
(De Gruyter, 2017-12)
Given a Hermitian matrix M ∈ M3(ℂ) we describe explicitly the real diagonal matrices DM such that ║M + DM║ ≤ ║M + D║ for all real diagonal matrices D ∈ M3(ℂ), where ║ · ║ denotes the operator norm. Moreover, we generalize ...
Utilization of Occlusal Index and Layering Technique in Class I Silorane-based Composite Restorations
(Operative Dentistry IncIndianapolisÍndia, 2009)
The r-matrix of the Alday-Arutyunov-Frolov model
(SPRINGERNEW YORK, 2012)
We investigate the classical integrability of the Alday-Arutyunov-Frolov model, and show that the Lax connection can be reduced to a simpler 2 x 2 representation. Based on this result, we calculate the algebra between the ...
Finite rank perturbations of linear relations and matrix pencils
(Birkhauser Verlag Ag, 2021-02)
We elaborate on the deviation of the Jordan structures of two linear relations that are finite-dimensional perturbations of each other. We compare their number of Jordan chains of length at least n. In the operator case, ...