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We give the second β-, γ-, and f-duals of the setsw0p(Λ), w∞p(Λ)(0<p<∞),c0p(Λ), cp(Λ), and c∞p(Λ)(0<p≤1) and the second continuous dual spaces ofw0p(Λ), c0p(Λ), and cp(Λ) for 0<p≤1. Furthermore, we determine the α-duals ofc0p(Λ), cp(Λ), and c∞p(Λ) for1<p<∞

international journal of mathematics and mathematical sciences

The second dual spaces of the sets of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\Lambda$"><mml:mi>Λ</mml:mi></mml:math>-strongly convergent and bounded sequences

The second dual spaces of the sets ofΛ-strongly convergent and bounded sequences