Research Article

Some properties in vector sequence spaces


Abstract

Some classes of operators T on are characterized in terms of the induced operators Tn on each Xn . We study pseudo weakly compact, limited completely continuous, q-convergent, DP q-convergent, limited q-convergent, weak Dunford-Pettis, weak* Dunford-Pettis, weak q-convergent, weak* q-convergent operators on for 1 < q < ∞. We also study q-convergent operators (1 ≤ q < p*) and operators with weakly precompact adjoints on .

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