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Measures of Noncompactness in $left(bar{N}_{Delta^{-}}^{q}right)$ Summable Difference Sequence Spaces
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نویسنده
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malik ishfaq ahmad ,jalal tanweer
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منبع
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journal of mathematical extension - 2019 - دوره : 13 - شماره : 4 - صفحه:143 -159
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چکیده
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In this paper we first introduce $bar{n}_{delta^{-}}^{q}$ summable difference sequence spaces and prove some properties of these spaces. we then obtain the necessary and sufficient conditions for infinite matrices $a$ to map these sequence spaces on the spaces $c_0, c$ and $ell_infty$, the hausdorff measure of noncompactness is then used to obtain the necessary and sufficient conditions for the compactness of the linear operators defined on these spaces.
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کلیدواژه
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Difference sequence space ,BK spaces ,matrix transformations ,measures of noncompactness
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آدرس
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national institute of technology, department of mathematics, India, national institute of technology, department of mathematics, India
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پست الکترونیکی
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tjalal@nitsri.net
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Authors
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