Characterizations of compact operators on ℓp-type fractional sets of sequences

• Authors: Özger Faruk

Identifiers

DOI

10.1515/dema-2019-0015

• Languages of publication: EN

Abstracts

EN

Among the sets of sequences studied, difference sets of sequences are probably the most common type of sets. This paper considers some ℓp-type fractional difference sets via the gamma function. Although, we characterize compactness conditions on those sets using the main key of Hausdorff measure of noncompactness, we can only obtain sufficient conditions when the final space is ℓ∞. However, we use some recent results to exactly characterize the classes of compact matrix operators when the final space is the set of bounded sequences.

Keywords

EN

gamma function; fractional operator; operator norm; compact operator; Hausdorff measure of noncompactness

PL

funkcja gamma; operator ułamkowy; norma operatorowa; operator zwarty; miara niezwartości; miara Hausdorffa

• Publisher: De Gruyter
• Journal: Demonstratio Mathematica
• Year: 2019
• Volume: Vol. 52, nr 1
• Pages: 105--115
• Physical description: Bibliogr. 37 poz., tab.

Contributors

author

Özger Faruk

• Department of Engineering Sciences, İzmir Katip Çelebi University, 35620, Izmir, Turkey

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Notes

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).