Rainis Haller

Geometry of Banach spaces with an octahedral norm

We discuss the geometry of Banach spaces whose norm is octahedral or, more generally, locally or weakly octahedral. Our main results characterize these spaces in terms of covering of the unit ball.

Stability of average roughness, octahedrality, and strong diameter

We prove that, if Banach spaces

2

X

properties of Banach spaces with respect to absolute sums

and

On duality of diameter 2 properties

Y

Kaczmarz algorithm in Hilbert space

are

Two remarks on diameter 2 properties

\delta

Geometric characterizations of positions of Banach spaces in their biduals

-average rough, then their direct sum with respect to an absolute norm

Quantitative Versions of Hereditary Results on M-Ideals of Compact Operators

N

Rough norms in spaces of operators

is