The spectrum operator of \(\chi^{2}\) sequence space defined by Musielak Orlicz function

DOI10.1515/tmj-2016-0017zbMath1369.40008OpenAlexW2528436682MaRDI QIDQ325204

Ayhan Esi, Nagarajan Subramanian

Publication date: 18 October 2016

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/tmj-2016-0017

zbMATH Keywords

double sequencesapproximate point spectrumMusielak-Orlicz functionanalytic sequencechi sequencecompression spectrumdefect spectrumfine spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Functional analytic methods in summability (40H05) Summability and bases in topological vector spaces (46A35)

Cites Work

• The spectrum of the operator \(D(r,0,s,0,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\)
• Orlicz spaces and modular spaces
• Extensions of the spaces \(c\) and \(c_ 0\) from single to double sequences
• On Orlicz sequence spaces
• Almost convergence of double sequences and strong regularity of summability matrices
• On Certain Sequence Spaces
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