Mausumi Sen VECTOR VALUED PARANORMED ` ( p ) SPACES ASSOCIATED WITH MULTIPLIER SEQUENCES
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چکیده
In this article we introduce the multiplier vector valued sequence space `{Ek,Λ, p}, where Λ = (λk) is an associated multiplier sequence of non-zero complex numbers and the terms of the sequence are chosen from the seminormed spaces Ek, k ∈ N . This generalizes the scalar sequence space `{p}. We study some properties of this space like solidity, symmetricity, completeness, separability. Prove some inclusion results and obtain their duals.
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تاریخ انتشار 2008