On the sequence space $l\sb{(p\sb{n})}$ and $\lambda \sb{(p\sb{n})},$ $0<p\sb{n}\leq 1$
نویسندگان
چکیده
منابع مشابه
A new sequence space and norm of certain matrix operators on this space
In the present paper, we introduce the sequence space [{l_p}(E,Delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left| sum_{j in {E_n}} x_j - sum_{j in E_{n + 1}} x_jright| ^p < infty right},] where $E=(E_n)$ is a partition of finite subsets of the positive integers and $pge 1$. We investigate its topological properties and inclusion relations. Moreover, we consider the problem of fin...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1977
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1977-0448027-x