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| 1 | Weighted weak group inverse for Hilbert space operators显示文摘We present the weighted weak group inverse,which is a new generalized inverse of operators between two Hilbert spaces,and we extend the notation of the weighted weak group inverse for rectangular matrices.Some characterizations and representations of the weighted weak group inverse are investigated.We also apply these results to define and study the weak group inverse for a Hilbert space operator.Using the weak group inverse,we define and characterize various binary relations. | Dijana MOSIC Daochang ZHANG | 2020 | Frontiers of Mathematics in China2020,15,4: | 2 |
| 2 | New Results on EP Elements in Rings with Involution显示文摘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,we focus on characterizations of a generalized EP element,i.e.,+-DMP element. | Long Wang Dijana Mosic Yuefeng Gao | 2022 | Algebra Colloquium2022,29,1: | 1 |
| 3 | Least Squares Properties of Generalized Inverses显示文摘The aim of this paper is to systematize solutions of some systems of linear equations in terms of generalized inverses.As a significant application of the Moore-Penrose inverse,the best approximation solution to linear matrix equations(i.e.both least squares and the minimal norm)is considered.Also,characterizations of least squares solution and solution of minimum norm are given.Basic properties of the Drazin-inverse solution and the outer-inverse solution are present.Motivated by recent research,important least square properties of composite outer inverses are collected. | Predrag S.Stanimirovic Dijana Mosic Yimin Wei | 2021 | Communications in Mathematical Research2021,37,4: | 1 |
| 4 | Reverse order law for the Moore-Penrose inverse in C algebras显示文摘 | MOSIC D DJORDJEVIC D S | 2011 | Electron J linear Algebra2011,22,: | 1 |
| 5 | Radioimmunoguided breast surgery using radiolabeled antibody NR-LU-10 FAB:a pilot study显示文摘 | Burak WE Jr DePalatis L Mosic JL | | 0,,: | 1 |
| 6 | Factorizations of weighted EP Banach space operators and Banach algebra elements显示文摘 | Boasso E Djordjevic D S Mosic D | 2015 | Banach Journal of Mathematical Analysis2015,9,3: | 1 |
| 7 | Factorization of weighted-EP elements in C*-algebras显示文摘 | Mosic D Djordjevic D S | 2012 | Applied Mathematics and Computation2012,218,9: | 1 |
| 8 | Design of forward adap- tive hybrid quantiser with Golomb-Rice code for compression of Gaussian source显示文摘 | PERIC Z H NIKOLIC J R MOSIC A V | 2014 | IET Communications2014,8,3: | 1 |
| 9 | On Characterizations of Special Elements in Rings with Involution显示文摘Let R be a ring with involution. It is well-known that an EP element in R is a core invertible element, but the question when a core invertible element is an EP element,the authors answer in this paper. Several new characterizations of star-core, normal and Hermitian elements in R are also presented. | Sanzhang XU Jianlong CHEN Dijana MOSIC | 2019 | Chinese Annals of Mathematics,Series B2019,40,1: | 1 |
| 10 | Reverse order law in C*-algebras显示文摘 | Mosic D Djordjevic D S | 2011 | Applied Mathematics and Compu- tation2011,218,: | 1 |
| 11 | A NOTE ON THE REPRESENTATIONS FOR THE GENERALIZED DRAZIN INVERSE OF BLOCK MATRICES显示文摘We present some representations for the generalized Drazin inverse of a block matrix x =[abcd]in a Banach algebra A in terms of a^d and(bc)~d under certain conditions,extending some recent result related to the generalized Drazin inverse of an anti-triangular operator matrix.Also,several particular cases of this result are considered. | Dijana MOSIC | 2015 | Acta Mathematica Scientia2015,35,6: | 0 |