On a class of vector-valued sequences associated with multiplier sequences

DOI10.1007/s10255-004-0186-7zbMath1061.46006OpenAlexW2070483374MaRDI QIDQ1884659

Binod Chandra Tripathy, Sabita Mahanta

Publication date: 5 November 2004

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-004-0186-7

zbMATH Keywords

multiplier sequencesvector-valued sequence spacesinclusion of sequence spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Multiple sequences and series (40B05) Special methods of summability (40G99) Tauberian theorems (40E05)

Related Items (20)

The Cesàro \(\chi ^{2}\) of tensor products in Orlicz sequence spaces ⋮ The entire sequence over Musielak \(p\)-metric space ⋮ Unnamed Item ⋮ On some I -convergent generalized difference sequence spaces associated with multiplier sequence defined by a sequence of modulli ⋮ Unnamed Item ⋮ Applications of Orlicz-Pettis theorem in vector valued multiplier spaces of generalized weighted mean fractional difference operators ⋮ Unnamed Item ⋮ Generalized vector-valued sequence spaces defined by modulus functions ⋮ Unnamed Item ⋮ Some new sequence spaces of fuzzy numbers defined by Orlicz functions using a fuzzy metric ⋮ Lacunary summable sequence spaces of fuzzy numbers defined by ideal convergence and an Orlicz function ⋮ Some ideal convergent multiplier sequence spaces using de la Vallee Poussin mean and Zweier operator ⋮ Compatible results on boundedness of matrix operators on weighted Copson sequence spaces ⋮ The spectrum of the operator \(D(r,0,s,0,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\) ⋮ The spectrum generated by \(s\)-numbers and pre-quasi normed Orlicz-Cesàro mean sequence spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ TAUBERIAN REMAINDER THEOREMS FOR THE WEIGHTED MEAN METHOD OF SUMMABILITY ⋮ Generalized vector-valued paranormed sequence spaces determined by a sequence of Orlicz functions ⋮ Characterization of summing operators in multiplier spaces of deferred Nörlund summability

Cites Work

• Matrix transformation between some classes of sequences
• The generalized spaces \(l^ 1(\)X) and \(m_ 0(\)X)
• Matrix maps on the power-series convergent on the unit disc
• The Integrability of Certain Functions and Related Summability Methods
• Some Sequence Spaces Related to the l ^p Spaces
• Sur la convergence statistique
• Banach sequence spaces
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• Unnamed Item
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• Unnamed Item

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