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The Pelczynski and Dunford-Pettis properties of the space of uniform convergent fourier series with respect to orthogonal polynomials.
Colloq. Math. 164, 1-9 (2021)
The Banach space U(mu) of uniformly convergent Fourier series with respect to an orthonormal polynomial sequence with orthogonalization measure mu supported on a compact set S subset of R is studied. For certain measures mu, involving Bernstein-Szego polynomials and certain Jacobi polynomials, it is proven that U(mu) has the Pelczyriski property, and also that U(mu) and U(mu)* have the Dunford-Pettis property.
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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
Orthogonal Polynomials ; Fourier Series ; Uniform Convergence ; Pelczynski Property ; Dunford-pettis Property ; Bernstein-szego Polynomials ; Jacobi Polynomials
ISSN (print) / ISBN
0010-1354
e-ISSN
1730-6302
Zeitschrift
Colloquium Mathematicum
Quellenangaben
Band: 164,
Heft: 1,
Seiten: 1-9
Verlag
Institute of Mathematics, Polish Academy of Sciences
Verlagsort
Krakowskie Przedmiescie 7 Po Box 1001, 00-068 Warsaw, Poland
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Computational Biology (ICB)