Open AccessQuantitative versions of almost squareness and diameter 2 properties
Author(s) -
Eve Oja,
Natalia Saealle,
Indrek Zolk
Publication year - 2020
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.276
H-Index - 6
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2020.24.09
Subject(s) - property (philosophy) , banach space , mathematics , local property , pure mathematics , philosophy , epistemology
We introduce a quantitative version (using s ∈ 2 (0; 1]) of almost (local) squareness of Banach spaces. The latter concept (i.e., the s = 1 case) was introduced by Abrahamsen, Langemets, and Lima in 2016. Related diameter 2 properties (local, strong, and symmetric strong) are also relaxed correspondingly. Our note contains some (counter-)examples and results for the s-almost (local) squareness property.