English

Admissible operators for sun-dual semigroups

Functional Analysis 2025-12-09 v3

Abstract

We extend classical duality results by Weiss on admissible operators to settings where the dual semigroup lacks strong continuity. This is possible using the sun-dual framework, which is not immediate from the duality of the input and output maps. This extension enables the testing of admissibility for a broader range of examples, in particular for state space of continuous functions or L1L^1.

Keywords

Cite

@article{arxiv.2408.02150,
  title  = {Admissible operators for sun-dual semigroups},
  author = {Sahiba Arora and Felix L. Schwenninger},
  journal= {arXiv preprint arXiv:2408.02150},
  year   = {2025}
}

Comments

This is version 3. Minor changes compared to version 2

R2 v1 2026-06-28T18:03:42.913Z