Vector-valued sequence spaces generated by infinite matrices
2001 ◽
Vol 26
(9)
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pp. 547-560
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LetA=(ank)be an infinite matrix with allank≥0andPa bounded, positive real sequence. For normed spacesEandEkthe matrixAgenerates paranormed sequence spaces such as[A,P]∞((Ek)),[A,P]0((Ek)), and[A,P](E)which generalize almost all the existing sequence spaces, such asl∞,c0,c,lp,wp, and several others. In this paper, conditions under which these three paranormed spaces are separable, complete, andr-convex, are established.
2003 ◽
Vol 2003
(30)
◽
pp. 1883-1897
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2001 ◽
Vol 26
(11)
◽
pp. 671-678
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2020 ◽
Vol 1613
◽
pp. 012038
2007 ◽
Vol 12
(4)
◽
pp. 419-424
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