Geodesic
Compactness criteria and spectra of some infinite lower triangular matrices
Filomat, Tome 36 (2022) no. 17, p. 5913

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DOI

In this paper, a study is made on two well-known operator matrices; the Rhaly operator R a and the generalized difference operator ∆ ab. Firstly, some compactness results for the operators R a and ∆ ab , whose purpose is to help in describing their spectra, are derived. Next, general results on investigating the spectra of such operators on a large class of Banach sequence spaces are established. These results give a complete description of the spectra. The obtained results unify, extend and improve many comparable results in the existing literature.
DOI : 10.2298/FIL2217913E
Classification : 47A10, 47B37, 46B45
Keywords: Infinite matrices, Rhaly operators, Difference operators, Sequence spaces, Spectrum 
Saad R El-Shabrawy. Compactness criteria and spectra of some infinite lower triangular matrices. Filomat, Tome 36 (2022) no. 17, p. 5913 . doi: 10.2298/FIL2217913E
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     title = {Compactness criteria and spectra of some infinite lower triangular matrices},
     journal = {Filomat},
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     year = {2022},
     volume = {36},
     number = {17},
     doi = {10.2298/FIL2217913E},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2217913E/}
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