On the block sequence space $l_p(E)$ and related matrix transformations | Zendy

D. Foroutannia | Zendy

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On the block sequence space $l_p(E)$ and related matrix transformations

Author(s) -

D. Foroutannia

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1501-16

Subject(s) - mathematics , sequence space , block (permutation group theory) , sequence (biology) , space (punctuation) , matrix (chemical analysis) , pure mathematics , combinatorics , transformation matrix , algebra over a field , banach space , computer science , physics , materials science , kinematics , classical mechanics , biology , composite material , genetics , operating system

The purpose of the present study is to introduce the sequence space ∑ n=1 ∑ j2En xj p p < 1 . We investigate some topological properties of this space and also give some inclusion relations concerning it. Furthermore, we compute - and -duals of this space and characterize the matrix transformations from the space lp( E) to the space X , where X 2 f l1;c;c0g .

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