### Uniform nonsquareness of direct sums of Banach spaces

DOI: http://dx.doi.org/10.12775/TMNA.2009.036

#### Abstract

An inequality between James constants of Banach spaces $X_s$

and the James constant

of their direct sum is obtained. This gives a characterization

of uniform nonsquareness of sums of Banach spaces.

and the James constant

of their direct sum is obtained. This gives a characterization

of uniform nonsquareness of sums of Banach spaces.

#### Keywords

Uniform nonsquarness; James constant; unconditional basis

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