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On semigroups with an infinitesimal operator

Jolanta Olko (2005)

Annales Polonici Mathematici

Let F t : t ≥ 0 be an iteration semigroup of linear continuous set-valued functions. If the semigroup has an infinitesimal operator then it is a uniformly continuous semigroup majorized by an exponential semigroup. Moreover, for sufficiently small t every linear selection of F t is invertible and there exists an exponential semigroup f t : t ≥ 0 of linear continuous selections f t of F t .

On sequential convergence in weakly compact subsets of Banach spaces

Witold Marciszewski (1995)

Studia Mathematica

We construct an example of a Banach space E such that every weakly compact subset of E is bisequential and E contains a weakly compact subset which cannot be embedded in a Hilbert space equipped with the weak topology. This answers a question of Nyikos.

On shape

Ralph Fox (1972)

Fundamenta Mathematicae

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