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Relation between the boundary point spectrum of a generator and of its adjoint.

Fuensanta Andreu Vaíllo, José Manuel Mazón Ruiz (1990)

Publicacions Matemàtiques

In this paper we get some relations between the boundary point spectrum of the generator A of a C0-semigroup and the generator A* of the dual semigroup. This relations combined with the results due to Lyubich-Phong and Arendt-Batty, yield stability results on positive C0-semigroups.

Remarks on rich subspaces of Banach spaces

Vladimir Kadets, Nigel Kalton, Dirk Werner (2003)

Studia Mathematica

We investigate rich subspaces of L₁ and deduce an interpolation property of Sidon sets. We also present examples of rich separable subspaces of nonseparable Banach spaces and we study the Daugavet property of tensor products.

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