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TY - JOUR
AU - Gupta, K B
AU - Ansari, Ashfaque A
PY - 2012/05/21
Y2 - 2025/12/06
TI - ï¨-Duals of Some Double Sequence Spaces
JF - Journal of Experimental Sciences
JA - JES
VL - 3
IS - 1
SE - Articles
DO -
UR - https://www.updatepublishing.com/journal/index.php/jes/article/view/1909
SP -
AB - <p class="MsoNormal"><span style="font-size: 10pt; line-height: 115%; font-family: 'Arial Narrow', sans-serif;">P. Chandra and B.C. Tripathy [13] have generalized the notion of the köthe-toeplitz dual of sequence spaces on introducting the concept of </span><span style="mso-bidi-font-size: 10.0pt; line-height: 115%; font-family: Symbol; mso-bidi-font-family: Symbol;">h</span><span style="font-size: 10pt; line-height: 115%; font-family: 'Arial Narrow', sans-serif;">-dual of order r, for r </span><span style="mso-bidi-font-size: 10.0pt; line-height: 115%; font-family: Symbol; mso-bidi-font-family: Symbol;">³</span><span style="mso-bidi-font-size: 10.0pt; line-height: 115%;"> </span><span style="font-size: 10pt; line-height: 115%; font-family: 'Arial Narrow', sans-serif;"> 1 of sequence spaces. B.C. Tripathy and B. Sharma [3] have introduced the notion of ï¨-du</span><span style="font-size: 10pt; line-height: 115%; font-family: 'Arial Narrow', sans-serif;">al of order r, for r </span><span style="mso-bidi-font-size: 10.0pt; line-height: 115%; font-family: Symbol; mso-bidi-font-family: Symbol;">³</span><span style="font-size: 10pt; line-height: 115%; font-family: 'Arial Narrow', sans-serif;">1 of double sequence spaces. Ansari and Gupta [1] have generalized the notion of the köthe-Toeplitz dual of sequence spaces on introducing the concept of </span><span style="mso-bidi-font-size: 10.0pt; line-height: 115%; font-family: Symbol; mso-bidi-font-family: Symbol;">h</span><span style="font-size: 10pt; line-height: 115%; font-family: 'Arial Narrow', sans-serif;">-dual of order r, for 0 < r </span><span style="mso-bidi-font-size: 10.0pt; line-height: 115%; font-family: Symbol; mso-bidi-font-family: Symbol;">£ </span><span style="font-size: 10pt; line-height: 115%; font-family: 'Arial Narrow', sans-serif;">1 of sequence spaces. In this paper, we have def</span><span style="font-size: 10pt; line-height: 115%; font-family: 'Arial Narrow', sans-serif;">ined and determined the </span><span style="font-size: 10pt; line-height: 115%; font-family: 'Arial Narrow', sans-serif;">ï¨-dual of some double sequence spaces for 0 < r </span><span style="mso-bidi-font-size: 10.0pt; line-height: 115%; font-family: Symbol; mso-bidi-font-family: Symbol;">£</span><span style="font-size: 10pt; line-height: 115%; font-family: 'Arial Narrow', sans-serif;"> 1 and have establised their perfectness in relation to ï¨-dual for 0 < r </span><span style="mso-bidi-font-size: 10.0pt; line-height: 115%; font-family: Symbol; mso-bidi-font-family: Symbol;">£</span><span style="font-size: 10pt; line-height: 115%; font-family: 'Arial Narrow', sans-serif;"> 1. </span><span style="font-size: 10pt; line-height: 115%; font-family: 'Arial Narrow', sans-serif;"></span></p>
ER -