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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 909 - 931 (23page)
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This paper presents some new paranormed sequence spaces X(r, s, t, p ; Δ) where X∈{ l∞(p), c(p), c0(p), l(p)} defined by using generalized means and difference operator. It is shown that these are complete linear metric spaces under suitable paranorms. Furthermore, the α-, β-, γ- duals of these sequence spaces are computed and also obtained necessary and sufficient conditions for some matrix transformations from X(r, s, t, p ; Δ) to X. Finally, it is proved that the sequence space l(r, s, t, p ; Δ) is rotund when pn>1 for all n and has the Kadec-Klee property.
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참고문헌 (25)
참고문헌 신청
A. Kananthai. / 2002 / On property(H)and rotundity of difference sequence spaces / J. Nonlinear Convex Anal 3 (3) : 401 ~ 409
A. M. Jarrah. / 2003 / Ordinary, absolute and strong summability and matrix transformations / Filomat 17 : 59 ~ 78
A. Wilansky / 1984 / Summability through Functional Analysis / North-Holland Math. Stud 85
B. Altay. / 2003 / On the paranormed Riesz sequence spaces of non-absolute type / Southeast Asian Bull. Math 26 (5) : 701 ~ 715
B. Altay. / 2006 / Some paranormed Riesz sequence spaces of non-absolute type / Southeast Asian Bull. Math 30 (4) : 591 ~ 608
A. M. Jarrah. / 2003 / Ordinary, absolute and strong summability and matrix transformations / Filomat 17 : 59 ~ 78
A. Wilansky / 1984 / Summability through Functional Analysis / North-Holland Math. Stud 85
B. Altay. / 2003 / On the paranormed Riesz sequence spaces of non-absolute type / Southeast Asian Bull. Math 26 (5) : 701 ~ 715
B. Altay. / 2006 / Some paranormed Riesz sequence spaces of non-absolute type / Southeast Asian Bull. Math 30 (4) : 591 ~ 608
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