Some topological and geometrical properties of new Banach sequence spaces

DOI10.1186/1029-242X-2013-38zbMath1286.46008WikidataQ59294166 ScholiaQ59294166MaRDI QIDQ395822

Emrah Evren Kara

Publication date: 30 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

sequence spacesfixed point propertyFibonacci numbersdifference matrixmatrix transformations\(\alpha\)-,\(\beta\)-,\(\gamma\)-dualsBanach-Saks type \(p\)

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Geometry and structure of normed linear spaces (46B20) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

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Cites Work

• Unnamed Item
• Almost convergence and generalized difference matrix
• Some new sequence spaces derived by the domain of generalized difference matrix
• Some new sequence spaces derived by the domain of the triple band matrix
• Orlicz sequence spaces of Banach-Saks type
• Generalization of the sequence space \(\ell (p)\) derived by weighted mean
• Generalized spaces of difference sequences
• Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
• Difference sequence spaces
• The fixed point property in Banach spaces with the NUS-property
• A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations
• Some generalizations of the space \(bv_{p}\) of \(p\)-bounded variation sequences
• On the Euler sequence spaces which include the spaces \(\ell _{p}\) and \(\ell _{\infty}\). II
• On Certain Sequence Spaces
• Some geometric properties of a sequence space related to ℓ^p
• On some new sequence spaces of non-absolute type related to the spaces ℓp and ℓ∞ I

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