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In the present paper, we introduce the Euler sequence space consisting of all sequences whose Euler transforms of order r are in the space ?p of non-absolute type which is the BK-space including the space ?p and prove that the spaces and ?p are linearly isomorphic for 1 ? p ? ∞. Furthermore, we give some inclusion relations concerning the space . Finally, we determine the α-, β- and γ-duals of the space for 1 ? p ? ∞ and construct the basis for the space , where 1 ? p < ∞. 相似文献
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Dong Han Kim 《Theoretical computer science》2011,412(29):3413-3417
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B.A. Frasin 《Computers & Mathematics with Applications》2011,62(11):4272-4276
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