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Displaying 141 –
160 of
163
Hypercyclicity of C0-semigroups is a very unstable property: We give examples to
show that adding arbitrary small constants or a bounded rank one operator to the generator of a
hypercyclic semigroup can destroy hypercyclicity. Also the limit of hypercyclic semigroups (even
in operator norm topology) need not be hypercyclic, and a hypercyclic semigroup can be the limit
of nonhypercyclic ones. Hypercyclicity is not inherited by the Yosida approximations. Finally, the
restriction of a hypercyclic...
In this paper we give some sufficient conditions for the adjoint of a weighted composition operator on a Hilbert space of analytic functions to be hypercyclic.
In this paper a complete characterization of hyperreflexive operators on finite dimensional Hilbert spaces is given.
The notion of a bilattice was introduced by Shulman. A bilattice is a subspace analogue for a lattice. In this work the definition of hyperreflexivity for bilattices is given and studied. We give some general results concerning this notion. To a given lattice we can construct the bilattice . Similarly, having a bilattice we may consider the lattice . In this paper we study the relationship between hyperreflexivity of subspace lattices and of their associated bilattices. Some examples of hyperreflexive...
Currently displaying 141 –
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163