Complete paranormed Orlicz Lorentz sequence spaces over \(n\)-normed spaces

DOI10.1016/j.joems.2017.01.005zbMath1387.46007OpenAlexW2581544989MaRDI QIDQ2402719

Kuldip Raj, Renu Anand

Publication date: 13 September 2017

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2017.01.005

zbMATH Keywords

Orlicz functionparanormLorentz sequence spaces\(n\)-norm space

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) General theory of topological algebras (46H05) Summability and bases in topological vector spaces (46A35)

Cites Work

• Orlicz spaces and modular spaces
• On some imbedding relations between certain sequence spaces
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• On real valued \(I\)-convergent a-summable sequence spaces defined by sequences of Orlicz functions
• On Lorentz spaces \(\ell_{p,q}\{E\}\)
• On \(n\)-normed spaces
• Applications of strongly convergent sequences to Fourier series by means of modulus functions
• New difference sequence spaces defined by Musielak-Orlicz function
• (p,q)-nuclear and (p,q)-integral operators
• On certain generalized paranormed spaces
• On Orlicz sequence spaces
• Some new functional spaces
• On the theory of spaces \(\Lambda\)
• The space of p-summable sequences and its natural n-norm
• The Mackey Topology and Complemented Subspaces of Lorentz Sequence Spaces d(w, p) for 0 < p < 1
• n-Inner Product Spaces
• Basic Sequences and Subspaces in Lorentz Sequence Spaces Without Local Convexity
• Notes on the Theory of Series (XIII): Some New Properties of Fourier Constants
• Lineare 2‐normierte Räume
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