Matrix transforms into the speed-Maddox spaces over ultrametric fields II

Let K be a complete, non-trivially valued, ultrametric (or non-archimedean) field. We recall the notions of boundedness and convergence with speed and speed-Maddox spaces over K , where the speed is defined by a sequence μ = \{μ_n\} in K with the property 0 < |μ_n| ↑ ∞ , n → ∞ , and define a new notion of absolute convergence with speed μ over K . Let λ be another speed in K . The necessary and sufficient conditions for a matrix A over K would transform all sequences that are λ -convergent or absolutely λ -convergent over K into the speed-Maddox spaces over K , where the speed is defined by μ .