Degenerate $C$-distribution semigroups in locally convex spaces
Functional Analysis
2016-10-12 v1
Abstract
The main purpose of this paper is to investigate degenerate -distribution semigroups in the setting of barreled sequentially complete locally convex spaces. In our approach, the infinitesimal generator of a degenerate -distribution semigroup is a multivalued linear operator and the regularizing operator is not necessarily injective. We provide a few important theoretical novelties, considering also exponential subclasses of degenerate -distribution semigroups.
Keywords
Cite
@article{arxiv.1610.02786,
title = {Degenerate $C$-distribution semigroups in locally convex spaces},
author = {Marko Kostić and Stevan Pilipović and Daniel Velinov},
journal= {arXiv preprint arXiv:1610.02786},
year = {2016}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1610.02788