Duals of Cesàro sequence vector lattices, Cesàro sums of Banach lattices, and their finite elements
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
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 ces p for p∈ { 0 } ∪ [1 , ∞) and, second, after the Cesàro sum ces p(X) of a sequence of Banach spaces is introduced, where 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.
Details
Originalsprache | Englisch |
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Seiten (von - bis) | 619-630 |
Seitenumfang | 12 |
Fachzeitschrift | Archiv der Mathematik |
Jahrgang | 120 |
Ausgabenummer | 6 |
Publikationsstatus | Veröffentlicht - Juni 2023 |
Peer-Review-Status | Ja |
Externe IDs
Scopus | 85153075833 |
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Mendeley | 3c2c4d42-f473-327c-9c46-7805073ee506 |
Schlagworte
DFG-Fachsystematik nach Fachkollegium
Schlagwörter
- Cesàro sum of Banach lattices, Duals of Cesàro sequence spaces, Atomic vector lattices, Finite elements in vector lattices