George Androulakis, Matthew Ziemke
Published 2015-03-25Version 1
We study semigroups of bounded operators on a Banach space such that the members of the semigroup are continuous with respect to various weak topologies and we give sufficient conditions for the generator of the semigroup to be closed with respect to the topologies involved. The proofs of these results use the Laplace transforms of the semigroup. Thus we first give sufficient conditions for Pettis integrability of vector valued functions with respect to scalar measures.
Some necessary and sufficient conditions for Hypercyclicity Criterion
Closedness of the orbit-closed $C$-numerical range and submajorization
Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions
![QR code for arXiv:1503.07472 [math.FA]](http://oss.arxitics.com/images/favicon.svg)