Compact operators on the Hahn space

DOI10.1007/S00605-021-01588-8zbMath1480.46003OpenAlexW3175293701MaRDI QIDQ2232815

Eberhard Malkowsky, Orhan Tuğ, Vladimir Rakočevič

Publication date: 11 October 2021

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-021-01588-8

zbMATH Keywords

Fredholm operatorsbounded linear operatorscompact operatorsHausdorff measure of noncompactnessHahn sequence space

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Sequence spaces (including Köthe sequence spaces) (46A45) Banach sequence spaces (46B45) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (7)

Domain of generalized difference operator Δ _i ³ of order three on the hahn sequence space h and matrix transformations ⋮ On the new generalized Hahn sequence space \(h_d^p\) ⋮ The roots of polynomials and the operator \(\Delta_i^3\) on the Hahn sequence space \(h\) ⋮ Fine spectra and compactness of generalized Cesàro operators in Banach lattices in \(\mathbb{C}^{\mathbb{N}_0}\) ⋮ Compactness of quadruple band matrix operator and geometric properties ⋮ Unnamed Item ⋮ On the spaces ℬ𝒱𝜗0 of double sequences of bounded variation

Cites Work

• The Hahn sequence space. III
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
• Measures of noncompactness in metric fixed point theory
• Fine spectra of the discrete generalized Cesàro operator on Banach sequence spaces
• The Hahn sequence space defined by the Cesàro mean
• Sequences of bounded variation and sequences of Fourier coefficients. II
• Über Ein Lemma von Herrn H. C. Chow
• Advanced Functional Analysis
• Discrete Generalized Cesaro Operators
• On Some Results Using Measures of Noncompactness
• Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations
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