Operator valued series, almost summability of vector valued multipliers and (weak) compactness of summing operator

DOI10.1016/j.jmaa.2019.123651zbMath1436.46010OpenAlexW2985442189MaRDI QIDQ2287260

Mahmut Karakuş, Feyzi Basşar

Publication date: 20 January 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123651

zbMATH Keywords

almost convergence\(\ell_\infty(X)\)- and \(c_0(X)\)-multiplier convergent seriescontinuity and compactness of summing operator

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach sequence spaces (46B45) Summability in abstract structures (40J05)

Related Items

Vector valued multiplier spaces of \(f_\lambda \)-summability, completeness through \(c_0(X)\)-multiplier convergence and continuity and compactness of summing operators ⋮ Multiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis Theorem ⋮ General methods of convergence and summability ⋮ On some classical properties of normed spaces via generalized vector valued almost convergence ⋮ Characterization of summing operators in multiplier spaces of deferred Nörlund summability

Cites Work

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• Characterizations of completeness of normed spaces through weakly unconditionally Cauchy series
• Almost convergence of double sequences and strong regularity of summability matrices
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