Quantifications of boundedly complete and shrinking bases

0565916 - MÚ 2023 RIV US eng J - Článek v odborném periodiku
Chen, D. - Kania, Tomasz - Ruan, Y.
Quantifications of boundedly complete and shrinking bases.
Illinois Journal of Mathematics. Roč. 66, č. 4 (2022), s. 627-645. ISSN 0019-2082
Institucionální podpora: RVO:67985840
Klíčová slova: quantifications * Banach spaces
Obor OECD: Pure mathematics
Impakt faktor: 0.6, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1215/00192082-10261081

In the present paper, we’ll introduce quantities measuring how far a (Schauder) basis is from being boundedly complete or shrinking. These quantities will be proved to really measure nonbounded completeness or nonshrinkingness of bases by investigating many bases. As applications, they will be used to prove quantitative versions of the well-known relationships between shrinking bases and boundedly complete bases due to R. C. James.
Trvalý link: https://hdl.handle.net/11104/0337390