Domain of the Double Sequential Band Matrix in the Sequence Space | Zendy

Havva Nergiz | Zendy; Feyzı Başar | Zendy

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Domain of the Double Sequential Band Matrix in the Sequence Space

Author(s) -

Havva Nergiz,

Feyzı Başar

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/949282

Subject(s) - mathematics , schauder basis , sequence (biology) , sequence space , matrix (chemical analysis) , space (punctuation) , domain (mathematical analysis) , transformation matrix , lemma (botany) , mathematical analysis , section (typography) , pure mathematics , combinatorics , banach space , physics , ecology , linguistics , philosophy , genetics , materials science , kinematics , poaceae , classical mechanics , advertising , business , composite material , biology

The sequence space was introduced by Maddox (1967). Quite recently, the domain of the generalized difference matrix in the sequence space has been investigated by Kirişçi and Başar (2010). In the present paper, the sequence space of nonabsolute type has been studied which is the domain of the generalized difference matrix in the sequence space . Furthermore, the alpha-, beta-, and gamma-duals of the space have been determined, and the Schauder basis has been given. The classes of matrix transformations from the space to the spaces , c and c0 have been characterized. Additionally, the characterizations of some other matrix transformations from the space to the Euler, Riesz, difference, and so forth sequence spaces have been obtained by means of a given lemma. The last section of the paper has been devoted to conclusion

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