Geometric aspects of the Daugavet property.

By Roman Shvydkoy. 2000

50 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1e53a4c64d9660603b4485d54cb9d1e7f2ecf3b9

How researchers see this paper

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In Computational Theory and Mathematics

1. V. Kadets
2. R. Payá
3. Miguel Martín
4. Dirk Werner

In Mathematical Physics

1. V. Kadets
2. Miguel Martín
3. R. Payá
4. Dirk Werner

Citations in the corpus

• Recent progress and open questions on the numerical index of Banach spaces (2006, methodology): “For instance, a Banach space with the Daugavet property contains ‘1 [43], it does not have unconditional basis (V. Kadets [38]) and, moreover, it does not isomorphically embed into an unconditional sum of Banach spaces without a copy of ‘1 [ 77 ].”
• THE DAUGAVET PROPERTY FOR SPACES OF LIPSCHITZ FUNCTIONS (2005, background): “ operator T: X → X; then (1.1) also holds for all weakly compact operators on X and even all operators that do not fix copies of ℓ 1. The Daugavet property was introduced in [5] and further studied in [10] and [6], but examples of spaces having the Daugavet property have long been known; e.g., C[0,1]”
• Recent Progress on the Daugavet Property (2001, background): “Shvidkoy obtained the general statement in [25].”