The Generalized Non-absolute type of sequence spaces
نویسندگان
چکیده
منابع مشابه
On paranormed λ-sequence spaces of non-absolute type
In this work, we introduce some new generalized sequence spaces related to the spaces l∞(p), c(p) and c0(p). Furthermore, we investigate some topological properties such as the completeness and the isomorphism, and we also give some inclusion relations among these sequence spaces. In addition, we compute the α-, βand γ -duals of these spaces, and characterize certain matrix transformations on t...
متن کاملOn some new sequence spaces of non - absolute type related to the spaces ` p and ` ∞ II
In the present paper, which is a natural continuation of the work done in [13], we determine the α-, βand γ-duals of the sequence spaces `p and ` λ ∞ of non-absolute type, where 1 ≤ p < ∞. Further, we characterize some related matrix classes and deduce the characterizations of some other classes by means of a given basic lemma. AMS subject classifications: 40C05, 40H05, 46A45
متن کاملON SOME NEW SEQUENCE SPACES OF NON-ABSOLUTE TYPE RELATED TO THE SPACES `p AND `∞ I
In the present paper, we introduce the sequence space `p of non-absolute type and prove that the spaces `p and `p are linearly isomorphic for 0 < p ≤ ∞. Further, we show that `p is a p-normed space and a BK-space in the cases of 0 < p < 1 and 1 ≤ p ≤ ∞, respectively. Furthermore, we derive some inclusion relations concerning the space `p . Finally, we construct the basis for the space `p , wher...
متن کاملGeneralized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences
and Applied Analysis 3 2. The Difference Sequence Spaces c 0 B and c λ B of Non-Absolute Type The difference sequence spaces have been studied by several authors in different ways see e.g. 12, 16–21 . In the present section, we introduce the spaces c 0 Δ , and c λ Δ , and show that these spaces are BK-spaces of non-absolute type which are norm isomorphic to the spaces c0 and c, respectively. We...
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ژورنال
عنوان ژورنال: Boletim da Sociedade Paranaense de Matemática
سال: 2015
ISSN: 2175-1188,0037-8712
DOI: 10.5269/bspm.v34i1.25674