Topological properties and matrix transformations of certain ordered generalized sequence spaces
1995 ◽
Vol 18
(2)
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pp. 341-356
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In this note, we carry out investigations related to the mixed impact of ordering and topological structure of a locally convex solid Riesz space(X,τ)and a scalar valued sequence spaceλ, on the vector valued sequence spaceλ(X)which is formed and topologized with the help ofλandX, and vice versa. Besides,we also characterizeo-matrix transformations fromc(X),ℓ∞(X)to themselves,cs(X)toc(X)and derive necessary conditions for a matrix of linear operators to transformℓ1(X)into a simple ordered vector valued sequence spaceΛ(X).
2001 ◽
Vol 26
(11)
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pp. 671-678
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2001 ◽
Vol 28
(1)
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pp. 9-23
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1986 ◽
Vol 100
(1)
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pp. 151-159
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Keyword(s):
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1967 ◽
Vol 63
(4)
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pp. 963-981
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2013 ◽
Vol 31
(2)
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pp. 55
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