Norms of matrix operators on \(bv_{p}\). (English) Zbl 1272.26020
This short note contains the summarized knowledge concerning the upper and lower bounds of matrix operators on some sequence spaces.
The authors consider the problem of finding norms of certain matrix operators on the sequence space \(bv_{p}\). In fact, they consider these problems for weighted mean, and generalized Cesaro matrices on the sequence space \(bv_{p}\).
The authors consider the problem of finding norms of certain matrix operators on the sequence space \(bv_{p}\). In fact, they consider these problems for weighted mean, and generalized Cesaro matrices on the sequence space \(bv_{p}\).
Reviewer: V. Lokesha (Bangalore)
MSC:
| 26D15 | Inequalities for sums, series and integrals |
| 40G05 | Cesàro, Euler, Nörlund and Hausdorff methods |
| 47A30 | Norms (inequalities, more than one norm, etc.) of linear operators |
| 47B37 | Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) |
| 46A45 | Sequence spaces (including Köthe sequence spaces) |
| 54D55 | Sequential spaces |
