The bounds for matrices with monotonic rows

The bounds LX,Y (A) and ‖A‖ _X,Y of an operator A = (a _n,k ) _{n, k} ≥0 with monotonic rows are evaluated, where X and Y are quasi-normed real valued sequence spaces. In particular, in the case where X = ℓ _p and Y = ℓ _q , our results give the results when part 0 < p ≤ 1 and 0 < q < ∞ to complement the other results with range p ≥ 1 and 0 < q < ∞. Moreover, we give a partial answer to a problem 1, Problem 7.23] which was posed by Bennett.