2016/12/12 by Murat Ki̇ri̇şçi̇, Kirisci, Murat
Mathematics · #40J05 #46B20 #46B45 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration #Primary 46A45 #Secondary 40C05
paper · pdf · doi:10.48550/arxiv.1612.03677
openalex publication_date 2016/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, it was obtained the new matrix domain with the well known\nclassical sequence spaces and an infinite matrix. The Taylor method which known\nthen as the circle method of order r (0 < r < 1), as an infinite matrix for the\nmatrix domain is used. Newly constructed space is isomorphic copy of the spaces\nof all absolutely p-summable sequences. It is well known that Hilbert space\nhave the nicest geometric properties. Then, it is proved that the new space is\na Hilbert space for p = 2. Further, it was computed dual spaces and\ncharacterized some matrix classes of the new Taylor space in the table form.\nSection 3 is devoted some geometric properties of Taylor space.\n