שמור ב:
מידע ביבליוגרפי
Main Authors: Candido, Leandro, Cúth, Marek, Smetana, Ondřej
פורמט: Preprint
יצא לאור: 2023
נושאים:
גישה מקוונת:https://arxiv.org/abs/2312.07749
תגים: הוספת תג
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תוכן הענינים:
  • We exhibit a new approach to the proofs of the existence of a large family of almost isometric ideals in nonseparable Banach spaces and existence of a large family of almost isometric local retracts in metric spaces. Our approach also implies the existence of a large family of nontrivial projections on every dual of a nonseparable Banach space. We prove three possible formulations of our results are equivalent. Some applications are mentioned which witness the usefulness of our novel approach.