Certain geometric structures of \(\Lambda\)-sequence spaces

DOI10.15352/AOT.1705-1164zbMath1397.46014arXiv1612.01519MaRDI QIDQ1704303

Atanu Manna

Publication date: 9 March 2018

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01519

zbMATH Keywords

extreme pointJames constantNakano sequence spacevon Neumann-Jordan constantKadec-Klee propertyCesàro sequence spaceHausdorff method

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the James constant and \(B\)-convexity of Cesàro and Cesàro--Orlicz sequence spaces
• On \(\Lambda\)-strong convergence of numerical sequences and Fourier series
• Local rotundity structure of Cesàro--Orlicz sequence spaces
• Another look at Cesàro sequence spaces
• On isometric copies of \(\ell _{\infty }\) and James constants in Cesáro-Orlicz sequence spaces
• Normal structure coefficients for Banach spaces
• Some geometric properties related to fixed point theory in Cesàro spaces
• Banach-Saks property and property \((\beta)\) in Cesàro sequence spaces
• On uniform Kadec--Klee properties and rotundity in generalized Cesàro sequence spaces
• Von Neumann-Jordan constant of absolute normalized norms on \(\mathbb{C}^2\)
• Uniformly non-square Banach spaces
• On a theorem concerning Watson transforms
• Uniform Opial properties in generalized Cesàro sequence spaces
• The von Neumann-Jordan constant for the Lebesgue spaces
• Some geometric properties of Musielak-Orlicz sequence spaces generated by de la Vallée-Poussin means
• On ∆-uniform convexity and drop property
• Weak uniform normal structure in direct sum spaces
• Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings
• Factorizing the classical inequalities
• On some new sequence spaces of non-absolute type related to the spaces ℓp and ℓ∞ I

This page was built for publication: Certain geometric structures of \(\Lambda\)-sequence spaces