On the Characterization of a Class of Four Dimensional Matrices and Steinhaus Type Theorems
Kragujevac Journal of Mathematics, Tome 40 (2016) no. 1, p. 35
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In the present paper, we give the definitions of four dimensional conull and coregular matrices, and characterize the classes $(\mathcal{M}_{u}:\mathcal{C}_{\vartheta})$, where $\vartheta\in \{p,p0,f\}$ and $\mathcal{C}_{f}$ denotes the space of all almost convergent double sequences. Additionally, we give two Steinhaus type theorems related to the coercive/almost coercive four dimensional sequence to sequence matrix transformations.
Classification :
40C05
Keywords: Double sequence, double series, Pringsheim convergence, Steinhaus type theorems, matrix transformations
Keywords: Double sequence, double series, Pringsheim convergence, Steinhaus type theorems, matrix transformations
@article{KJM_2016_40_1_a2,
author = {M. Ye\c{s}i and lkayagi and l and F. Ba\c{s}ar},
title = {On the {Characterization} of a {Class} of {Four} {Dimensional} {Matrices} and {Steinhaus} {Type} {Theorems}},
journal = {Kragujevac Journal of Mathematics},
pages = {35 },
year = {2016},
volume = {40},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2016_40_1_a2/}
}
TY - JOUR AU - M. Yeşi AU - lkayagi AU - l AU - F. Başar TI - On the Characterization of a Class of Four Dimensional Matrices and Steinhaus Type Theorems JO - Kragujevac Journal of Mathematics PY - 2016 SP - 35 VL - 40 IS - 1 UR - http://geodesic.mathdoc.fr/item/KJM_2016_40_1_a2/ LA - en ID - KJM_2016_40_1_a2 ER -
M. Yeşi; lkayagi; l; F. Başar. On the Characterization of a Class of Four Dimensional Matrices and Steinhaus Type Theorems. Kragujevac Journal of Mathematics, Tome 40 (2016) no. 1, p. 35 . http://geodesic.mathdoc.fr/item/KJM_2016_40_1_a2/