English

Lebesgue Spaces and Inclusion Relation

Functional Analysis 2019-10-02 v1 General Topology

Abstract

The proofs of A. Villani on inclusion relations among classical Lebesgue spaces are dicussed. The techinque of using closed graph theorem, due to Villani, is applied to derive results on inclusion relations among some more additional spaces. An application of automatic continuity of multiplicative linear functionals on Banach algebras is found.

Keywords

Cite

@article{arxiv.1910.00422,
  title  = {Lebesgue Spaces and Inclusion Relation},
  author = {C. Ganesa Moorthy},
  journal= {arXiv preprint arXiv:1910.00422},
  year   = {2019}
}

Comments

8 pages, http://shodhganga.inflibnet.ac.in/handle/10603/139584

R2 v1 2026-06-23T11:31:39.021Z