Open AccessOn some new sequence spaces of non-absolute type and matrix transformations
Author(s) -
Ab. Hamid Ganie,
Neyaz Ahmad Sheikh
Publication year - 2013
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.01.006
Subject(s) - mathematics , dual polyhedron , type (biology) , matrix (chemical analysis) , sequence (biology) , transformation matrix , basis (linear algebra) , pure mathematics , construct (python library) , absolute (philosophy) , combinatorics , geometry , computer science , ecology , philosophy , materials science , genetics , physics , kinematics , classical mechanics , epistemology , composite material , biology , programming language
In the present paper, we introduce the spaces c0Δuλ and cΔuλ, which are BK-spaces of non-absolute type and prove that these spaces are linearly isomorphic to the spaces c0 and c, respectively. We also compute their α-, β- and γ-duals and construct their basis. Finally, we characterize some matrix classes concerning with these spaces