Quantitative versions of almost squareness and diameter 2 properties | Zendy

Eve Oja | Zendy; Natalia Saealle | Zendy; Indrek Zolk | Zendy

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Quantitative 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

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.

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