Abel spaces of order \(\lambda\) and extended \(\rho\)-duality. (Spanish) Zbl 0587.46004
We define the sequence spaces sa(\(\lambda)\) and ca(\(\lambda)\) through the methods of summability extended from Abel studying its topological properties with a special type of matrix operator. The family of dualities \(\rho\) (\(\lambda)\) are studied.
MSC:
| 46A45 | Sequence spaces (including Köthe sequence spaces) |
| 46A20 | Duality theory for topological vector spaces |
| 47B37 | Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) |
| 40C05 | Matrix methods for summability |
