Makale detayı · 2023
Duals of Cesàro sequence vector lattices, Cesàro sums of Banach lattices, and their finite elements
YÖKSİS
OpenAlex
Açık erişim · hybrid
SJR Q2
JCR Q3
Atıf 3
Yüzdelik 75.0%
FWCI 1.4
- Yıl
- 2023
- ISSN
0003-889X- Tür
- article
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Özet
İngilizce (OpenAlex)
Abstract In this paper, we study the ideals of finite elements in special vector lattices of real sequences, first in the duals of Cesàro sequence spaces $${\text {ces}}_p$$ ces p for $$p\in \{0\}\cup [1,\infty )$$ p ∈ { 0 } ∪ [ 1 , ∞ ) and, second, after the Cesàro sum $${\text {ces}}_{p}{(\mathfrak {X})}$$ ces p ( X ) of a sequence of Banach spaces is introduced, where $$p=\infty $$ p = ∞ is also allowed, we characterize their duals and the finite elements in these sums if the summed up spaces are Banach lattices. This is done by means of a remarkable extension of the corresponding result for direct sums.
Konular
- Advanced Banach Space Theory
- Approximation Theory and Sequence Spaces
- Optimization and Variational Analysis
Birincil konu Advanced Banach Space Theory