1
Department of Mathematics, Kharazmi University, Tehran, Iran
2
Department of Mathematics, University of Qom, Qom, Iran.
10.22060/ajmc.2025.24558.1438
Abstract
In the present paper, we obtain some necessary, sufficient and equivalent conditions for some special sequences in a Hilbert C*-module to constitute a standard g-Bessel sequence or a K-g-frame, where K is an adjointable operator on the underlying Hilbert C*-module. Mainly, it is shown that standard g-Bessel sequences and K-g-frames are stable under the different kinds of perturbations. Then, as a special kind of K-duals for a standard g-frame, its $\alpha$-duals are considered and characterized ($\alpha$ is an integer). Moreover, we get some conditions under which standard g-Bessel sequences, K-g-frames and $\alpha$-duals are preserved under the action of adjointable operators.
Zamani Mirarkoulaei,F. and Mirzaee Azandaryani,M. (2026). Standard g-Bessel sequences and K-g-frames in Hilbert C*-modules. (e6031). AUT Journal of Mathematics and Computing, (), e6031 doi: 10.22060/ajmc.2025.24558.1438
MLA
Zamani Mirarkoulaei,F. , and Mirzaee Azandaryani,M. . "Standard g-Bessel sequences and K-g-frames in Hilbert C*-modules" .e6031 , AUT Journal of Mathematics and Computing, , , 2026, e6031. doi: 10.22060/ajmc.2025.24558.1438
HARVARD
Zamani Mirarkoulaei F., Mirzaee Azandaryani M. (2026). 'Standard g-Bessel sequences and K-g-frames in Hilbert C*-modules', AUT Journal of Mathematics and Computing, (), e6031. doi: 10.22060/ajmc.2025.24558.1438
CHICAGO
F. Zamani Mirarkoulaei and M. Mirzaee Azandaryani, "Standard g-Bessel sequences and K-g-frames in Hilbert C*-modules," AUT Journal of Mathematics and Computing, (2026): e6031, doi: 10.22060/ajmc.2025.24558.1438
VANCOUVER
Zamani Mirarkoulaei F., Mirzaee Azandaryani M. Standard g-Bessel sequences and K-g-frames in Hilbert C*-modules. AUT J Math Comput, 2026; (): e6031. doi: 10.22060/ajmc.2025.24558.1438
