On Some Properties of New Paranormed Sequence Space of Nonabsolute Type
Author(s) -
Vatan Karakaya,
Necip Şi̇mşek
Publication year - 2012
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 - 10.1155/2012/921613
Subject(s) - sequence space , sequence (biology) , mathematics , space (punctuation) , isomorphism (crystallography) , completeness (order theory) , zero dimensional space , dual polyhedron , type (biology) , pure mathematics , topology (electrical circuits) , combinatorics , topological space , topological vector space , banach space , mathematical analysis , computer science , ecology , crystal structure , genetics , chemistry , biology , crystallography , operating system
We introduce some new generalized sequence space related to the space l(p). Furthermore we investigate some topological properties as the completeness, the isomorphism, and also we give some inclusion relations between this sequence space and some of the other sequence spaces. In addition, we compute alpha-, beta-, and gamma-duals of this space and characterize certain matrix transformations on this sequence space
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom