Calculations on Matrix Transformations Involving an Infinite Tridiagonal Matrix
Copyright policy )Calculations on Matrix Transformations Involving an Infinite Tridiagonal Matrix
Given any sequence z=znn≥1 of positive real numbers and any set E of complex sequences, we write Ez for the set of all sequences y=ynn≥1 such that y/z=yn/znn≥1∈E; in particular, sz0 denotes the set of all sequences y such that y/z tends to zero. Here, we consider the infinite tridiagonal matrix Br,s,t˜, obtained from the triangle Br,s,t, by deleting its first row. Then we determine the sets of all positive sequences a=ann≥1 such that EaBr,s,t˜⊂Ea, where E=ℓ∞, c0, or c. These results extend some recent results.
- Lebanese University, Faculty of Sciences Lebanon
- University of Le Havre France
- Lebanese University Lebanon
- Laboratoire de Mathématiques Appliquées du Havre France
triple band matrix, QA1-939, matrix transformations; BK space; (SSIE) with operator; triple band matrix, matrix transformations, (SSIE) with operator, BK space, Mathematics
triple band matrix, QA1-939, matrix transformations; BK space; (SSIE) with operator; triple band matrix, matrix transformations, (SSIE) with operator, BK space, Mathematics
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