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ON SPECTRAL PROPERTIES OF A NEW OPERATOR OVER sequence spaceS c AND c_0

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Acta Mathematica Scientia 2014年第5期34卷 1481-1494页

作者： Ezgi ERDOGAN Vatan KARAKAYA Department of Mathematics Marmara UniversityKad?ky Department of Mathematical Engineering Y?ld?z Technical University

In this work, we classify and calculate spectra such as point spectrum, continuous spectrum and residual spectrum over sequences spaces？∞, c and c0 according to a new matrix operator W which is obtained by matrix pr... 详细信息

关键词： spectrum of an operator matrix transformation sequence space

[ℓ_(p)]_(e.r) Euler-Riesz Difference sequence spaces

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Analysis in Theory and Applications 2021年第4期37卷 557-571页

作者： Hacer Bilgin Ellidokuzoglu Serkan Demiriz Department of Mathematics Recep Tayyip Erdo˘gan UniversityRizeTurkey Department of Mathematics Tokat Gaziosmanpa¸sa UniversityTokatTurkey

Bas¸ar and Braha[1],introduced the sequence spaces˘ℓ_(∞),c˘and c˘0 of EulerCesaro bounded,convergent and null difference sequences and studied their some´***,in[2],we introduced the sequence spaces[ℓ_(∞)]_(e.r),[c]_(e.r)and[c_(0)]_(e.r)of Euler-Riesz bounded,convergent and null difference sequences by using the composition of the Euler mean E1 and Riesz mean Rq with backward difference operator∆.The main purpose of this study is to introduce the sequence space[ℓ_(p)]_(e.r)of Euler-Riesz p−absolutely convergent series,where 1≤psequences by using the composition of the Euler mean E1 and Riesz mean Rq with backward difference operator∆.Furthermore,the inclusionℓ_(p)⊂[ℓ_(p)]_(e.r)hold,the basis of the sequence space[ℓ_(p)]_(e.r)is constucted andα−,β−andγ−duals of the space are ***,the classes of matrix transformations from the[ℓ_(p)]_(e.r)Euler-Riesz difference sequence space to the spacesℓ_(∞),c and c0 are *** devote the final section of the paper to examine some geometric properties of the space[ℓ_(p)]_(e.r).

关键词： Composition of summability methods Riesz mean of order one Euler mean of order one backward difference operator sequence space BK space Schauder basis β−duals matrix transformations

Multipliers into sequence spaces

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Chinese Quarterly Journal of Mathematics 2002年第4期17卷 20-26页

作者：岳修奎山东建筑工程学院数理系山东济南250014

This paper describes characteristics of (A p,α,l q) with 00 and p≤q≤∞. As the corollaries, the characteristics of (A p,l q),(H p,l q),(G p,l q) and (B p,l q) with 0 详细信息

This paper describes characteristics of (A p,α,l q) with 00 and p≤q≤∞. As the corollaries, the characteristics of (A p,l q),(H p,l q),(G p,l q) and (B p,l q) with 0

关键词： weighted Bergman space Hardy space sequence space multiplier Able dual

On Gliding Hump Properties of Matrix Domains

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Communications in Mathematical Research 2009年第1期25卷 69-78页

作者： ZHENG FU TAO YUAN-HONG LI RONG-LU Department of Mathematics Bohai University Jinzhou Liaoning 121001 Department of Mathematics College of Science Yanbian University Yanji Jilin 133002 Department of Mathematics Harbin Institute of Technology Harbin 150001

In this note, we establish several results concerning the gliding hump properties of matrix domains. In order to discuss F-WGHP, we introduce the UAK-property and find that this sort of property has close relationship with F-WGHP. In the course of discussing F-WGHP and WGHP of （C0）cn, we discuss the F-WGHP and WGHP of the almost-null sequence space f0.

关键词： matrix domain UAK-property gliding hump property sequence space

Determination of the Sets of sequences with the Standard Fuzzy Metric

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Journal of Mathematics and System Science 2013年第5期3卷 217-224页

作者： Ugur Kadak Gazi University Faculty of Science Department of Mathematics Ankara 06410 Turkey Bozok University Faculty of Science Department of Mathematics Yozgat 66140 Turkey

Following George and Veeramani et. al. [On some results in Fuzzy Metric spaces, Fuzzy Sets Syst. 64 （1994） 395-399], we essentially deal with the classical sequence spaces using of the standard fuzzy metric with t-norm. We consider well-known classical sequence spaces such as l∞ , C, C0 and l p, and we have construct it with standard fuzzy metric. Finally, the completeness of these spaces was given by using the same metric.

关键词： sequence space metric space fuzzy metric space complete metric space.

A CLASS OF INFINITE MATRIX TOPOLOGICAL ALGEBRAS

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Applied Mathematics(A Journal of Chinese Universities) 2000年第4期15卷 399-402页

作者： Wu JundeDept. of Math., Zhejiang Univ.,Hangzhou 310027. Dept. of Math. Zhejiang Univ. Hangzhou

Let λ and μ be sequence spaces and have both the signed weak gliding hump property, (λ,μ) the algebra of the infinite matrix operators which transform λ into μ . In this paper, it is proved that if λ and μ are β spaces and λ β and μ β have also the signed weak gliding hump property, then for any polar topology τ, ((λ,μ),τ) is always sequentially complete locally convex topological algebra.

关键词： sequence space infinite matrix topological algebra.