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Sums of SCD sets and their applications to SCD operators and narrow operators

100%

Kadets V., Shepelska V.

Open Mathematics

2010

tom 8

nr 1

129-134

We answer two open questions concerning the recently introduced notions of slicely countably determined (SCD) sets and SCD operators in Banach spaces. An application to narrow operators in spaces with the Daugavet property is given.

Extremely non-complex Banach spaces

75%

Martín M., Merí J.

Open Mathematics

2011

tom 9

nr 4

797-802

A Banach space X is said to be an extremely non-complex space if the norm equality ∥Id +T 2∥ = 1+∥T 2∥ holds for every bounded linear operator T on X. We show that every extremely non-complex Banach space has positive numerical index, it does not have an unconditional basis and that the infimum of diameters of the slices of its unit ball is positive.

Ograniczanie wyników

2 Open Mathematics

1 Kadets V.

1 Martín M.

1 Merí J.

1 Shepelska V.

1 2011

1 2010

Wyniki wyszukiwania

Sums of SCD sets and their applications to SCD operators and narrow operators

Extremely non-complex Banach spaces