Geodesic
Explicit Solution to Modular Operator Equation $TXS^*-SX^*T^*=A$
Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 280
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

In this paper, by using some block operator matrix techniques, we find explicit solution of the operator equation $TXS^* -SX^*T^*=A$ in the general setting of the adjointable operators between Hilbert $C^*$-modules. Furthermore, we solve the operator equation $TXS^* -SX^*T^*=A$, when $\rm{ran}(T)+\rm{ran}(S)$ is closed.
Classification : 47A62 15A24, 46L08
Keywords: Operator equation, Moore-Penrose inverse, Hilbert $C^*$-module 
@article{KJM_2016_40_2_a10,
     author = {M. Mohammadzadeh Karizaki and M. Hassani and S. S. Dragomir},
     title = {Explicit {Solution} to {Modular} {Operator} {Equation} $TXS^*-SX^*T^*=A$},
     journal = {Kragujevac Journal of Mathematics},
     pages = {280 },
     year = {2016},
     volume = {40},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a10/}
}
TY  - JOUR
AU  - M. Mohammadzadeh Karizaki
AU  - M. Hassani
AU  - S. S. Dragomir
TI  - Explicit Solution to Modular Operator Equation $TXS^*-SX^*T^*=A$
JO  - Kragujevac Journal of Mathematics
PY  - 2016
SP  - 280 
VL  - 40
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a10/
LA  - en
ID  - KJM_2016_40_2_a10
ER  - 
%0 Journal Article
%A M. Mohammadzadeh Karizaki
%A M. Hassani
%A S. S. Dragomir
%T Explicit Solution to Modular Operator Equation $TXS^*-SX^*T^*=A$
%J Kragujevac Journal of Mathematics
%D 2016
%P 280 
%V 40
%N 2
%U http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a10/
%G en
%F KJM_2016_40_2_a10
M. Mohammadzadeh Karizaki; M. Hassani; S. S. Dragomir. Explicit Solution to Modular Operator Equation $TXS^*-SX^*T^*=A$. Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 280 . http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a10/