Vector valued Orlicz-Lorentz sequence spaces and their operator ideals

DOI10.22436/jnsa.010.02.01zbMath1412.46012OpenAlexW2585801278MaRDI QIDQ4631854

Kuldip Raj, Syed Abdul Mohiuddine

Publication date: 23 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.02.01

zbMATH Keywords

operator idealsMusielak-Orlicz functionLorentz sequence spacesdifference sequence spaces\(s\)-numbers of operators

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Operator ideals (47L20)

Related Items (12)

Generalization of the space \(l(p)\) derived by absolute Euler summability and matrix operators ⋮ A note on Nakano generalized difference sequence space ⋮ Sequence spaces derived by the triple band generalized Fibonacci difference operator ⋮ Operator ideals generated by strongly Lorentz sequence spaces ⋮ Some properties of prequasi normed generalized de La Vallée Poussin's mean sequence space ⋮ Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces ⋮ Some seminormed difference sequence spaces over \(n\)-normed spaces defined by a Musielak-Orlicz function of order \((\alpha, \beta)\) ⋮ Unnamed Item ⋮ Kannan prequasi contraction maps on Nakano sequence spaces ⋮ The spectrum generated by \(s\)-numbers and pre-quasi normed Orlicz-Cesàro mean sequence spaces ⋮ Small pre-quasi Banach operator ideals of type Orlicz-Cesáro mean sequence spaces ⋮ Some properties of pre-quasi norm on Orlicz sequence space

Cites Work

• Generalized spaces of double sequences for Orlicz functions and bounded-regular matrices over \(n\)-normed spaces
• Some generalized difference sequence spaces defined by a sequence of moduli in \(n\)-normed spaces
• Orlicz spaces and modular spaces
• On Lorentz spaces \(\ell_{p,q}\{E\}\)
• On Certain Sequence Spaces
• s-Numbers of operators in Banach spaces
• Generalized Orlicz-Lorentz sequence spaces and corresponding operator ideals
• On some geometric and topological properties of generalized Orlicz–Lorentz sequence spaces
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