Summands in locally almost square and locally octahedral spaces

2017/05/18 by Hardtke, Jan-David · 1 citation
#46B20 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1705.06610

Abstract

We study the question whether properties like local/weak almost squareness and local octahedrality pass down from an absolute sum X⊕_F Y to the summands X and Y.

Cited by

• The uniform strong diameter two property

Related

• On octahedraliy and Müntz spaces
• Locally octahedral and locally almost square Köthe-Bochner spaces
• On certain geometric properties in Banach spaces of vector-valued\n functions
• On The Local Sum Conjecture in Two Dimensions
• Distributive decomposition of near-vector spaces