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- W3208593679 abstract "Abstract In this work, we study characterizations of some matrix classes $(mathcal{C}^{(alpha )}(ell ^{p}),ell ^{infty })$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mo>(</mml:mo> <mml:msup> <mml:mi>C</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>α</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:msup> <mml:mo>(</mml:mo> <mml:msup> <mml:mi>ℓ</mml:mi> <mml:mi>p</mml:mi> </mml:msup> <mml:mo>)</mml:mo> <mml:mo>,</mml:mo> <mml:msup> <mml:mi>ℓ</mml:mi> <mml:mi>∞</mml:mi> </mml:msup> <mml:mo>)</mml:mo> </mml:math> , $(mathcal{C}^{(alpha )}(ell ^{p}),c)$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mo>(</mml:mo> <mml:msup> <mml:mi>C</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>α</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:msup> <mml:mo>(</mml:mo> <mml:msup> <mml:mi>ℓ</mml:mi> <mml:mi>p</mml:mi> </mml:msup> <mml:mo>)</mml:mo> <mml:mo>,</mml:mo> <mml:mi>c</mml:mi> <mml:mo>)</mml:mo> </mml:math> , and $(mathcal{C}^{(alpha )}(ell ^{p}),c^{0})$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mo>(</mml:mo> <mml:msup> <mml:mi>C</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>α</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:msup> <mml:mo>(</mml:mo> <mml:msup> <mml:mi>ℓ</mml:mi> <mml:mi>p</mml:mi> </mml:msup> <mml:mo>)</mml:mo> <mml:mo>,</mml:mo> <mml:msup> <mml:mi>c</mml:mi> <mml:mn>0</mml:mn> </mml:msup> <mml:mo>)</mml:mo> </mml:math> , where $mathcal{C}^{(alpha )}(ell ^{p})$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mi>C</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>α</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:msup> <mml:mo>(</mml:mo> <mml:msup> <mml:mi>ℓ</mml:mi> <mml:mi>p</mml:mi> </mml:msup> <mml:mo>)</mml:mo> </mml:math> is the domain of Copson matrix of order α in the space $ell ^{p}$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mi>ℓ</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:math> ( $0< p<1$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mn>0</mml:mn> <mml:mo><</mml:mo> <mml:mi>p</mml:mi> <mml:mo><</mml:mo> <mml:mn>1</mml:mn> </mml:math> ). Further, we apply the Hausdorff measures of noncompactness to characterize compact operators associated with these matrices." @default.
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- W3208593679 date "2021-10-29" @default.
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- W3208593679 title "Compact operators on sequence spaces associated with the Copson matrix of order α" @default.
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