Generalized Kothe-Toeplitz Duals of Some Vector-Valued Sequence Spaces

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Tarih

2013

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Hindawi Ltd

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info:eu-repo/semantics/openAccess

Özet

We know from the classical sequence spaces theory that there is a useful relationship between continuous and beta-duals of a scalar-valued FK-space E originated by the AK-property. Our main interest in this work is to expose relationships between the operator space L (E, Y) and E-beta and the generalized beta-duals of some X-valued AK-space E where X and Y are Banach spaces and E-beta = {(A(k)), A(k) epsilon L (X,Y): Sigma(infinity)(k=1) converges in Y, for all x epsilon E}. Further, by these results, we obtain the generalized beta-duals of some vector-valued Orlicz sequence spaces.

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International Journal of Analysis

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N/A

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