Quantifications of boundedly complete and shrinking bases

0565916 - MÚ 2023 RIV US eng J - Journal Article
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
Institutional support: RVO:67985840
Keywords : quantifications * Banach spaces
OECD category: Pure mathematics
Impact factor: 0.6, year: 2022
Method of publishing: Limited access
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.
Permanent Link: https://hdl.handle.net/11104/0337390