5 papers
New results on EP elements in rings with involution
Long Wang, Dijana Mosic, Yuefeng Gao
In this paper, we mainly give characterizations of EP elements in terms of equations. In addition, a related notion named a central EP element is defined and investigated. Finally,…
Weighted weak group inverse for Hilbert space operators
Dijana Mosic, Daochang Zhang
We present the weighted weak group inverse, which is a new generalized inverse of operators between two Hilbert spaces, introduced to extend weak group inverse for square matrices.…
On the existence of group inverses of Peirce corner matrices
Daochang Zhang, Dijana Mosic, Tin-Yau Tam
We give some statements that are equivalent to the existence of group inverses of Peirce corner matrices of a block matrix and its generalized Schur complements. As ap…
Drazin inverses of the sum of four matrices and its applications
Daochang Zhang, Dijana Mosi\' c, Li Guo
Our aim is to establish relations between Drazin inverses of the pesudo-block matrix and the block matrix composed of , where . Based on the relatio…
Factorizations of weighted EP Banach space operators and Banach algebra elements
Enrico Boasso, Dragan S. Djordjevic, Dijana Mosic
Weighted EP Banach space operators and Banach algebra elements are characterized using different kinds of factorizations. The results presented extend well-known characterizations…