Some results on almost square Banach spaces

2015/12/02 by Guerrero, Julio Becerra, Pérez, Ginés López, Zoca, Abraham Rueda
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1512.00610

Abstract

We study almost square Banach spaces under a topological point of view. Indeed, we prove that the class of Banach spaces which admits an equivalent norm to be ASQ is that of those Banach spaces which contain an isomorphic copy of c₀. We also prove that the symmetric projective tensor products of an almost square Banach space have the strong diameter two property

Related

• Transfinite almost square Banach spaces
• Almost square and octahedral norms in tensor products of Banach spaces
• Almost square Banach spaces
• Almost square dual Banach spaces
• Almost squareness and strong diameter two property in tensor product spaces