Topological duals of some paranormed sequence spaces
2003 ◽
Vol 2003
(30)
◽
pp. 1883-1897
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LetP=(pk)be a bounded positive sequence and letA=(ank)be an infinite matrix with allank≥0. For normed spacesEandEk, the matrixAgenerates the paranormed sequence spaces[A,P]∞((Ek)),[A,P]0((Ek)), and[A,P]((E)), which generalise almost all the well-known sequence spaces such asc0,c,lp,l∞, andwp. In this paper, topological duals of these paranormed sequence spaces are constructed and general representation formulae for their bounded linear functionals are obtained in some special cases of matrixA.
2001 ◽
Vol 26
(9)
◽
pp. 547-560
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Keyword(s):
1997 ◽
Vol 64
(4)
◽
pp. 1000-1004
◽
Keyword(s):
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2020 ◽
Keyword(s):