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Narrow operators and rich subspaces of Banach spaces with the Daugavet property

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Kadets V., Shvidkoy R., Werner D.

Studia Mathematica

2001

tom 147

nr 3

269-298

Let X be a Banach space. We introduce a formal approach which seems to be useful in the study of those properties of operators on X which depend only on the norms of the images of elements. This approach is applied to the Daugavet equation for norms of operators; in particular we develop a general theory of narrow operators and rich subspaces of spaces X with the Daugavet property previously studied in the context of the classical spaces C(K) and L₁(μ).

Ograniczanie wyników

1 Studia Mathematica

1 Kadets V.

1 Shvidkoy R.

1 Werner D.

1 2001

Wyniki wyszukiwania

Narrow operators and rich subspaces of Banach spaces with the Daugavet property