On functional analytic approach for Gleason problem in the theory of SCV
Functional Analysis
2021-03-09 v3
Abstract
This paper establishes the Gleason result for finitely generated ideals in the context of Frechet algebras, and, in particular, provides an affirmative answer to a question about the Gleason result in commutative Frechet algebras (Carpenter posed this question for uniform Frechet algebras in 1970). As a welcome bonus of our method, locally Stein algebras are completely characterized, and, as an application of this characterization, an affirmative answer to the Gleason problem (1964) for such algebras is provided recapturing all the classical results on the Gleason problem in the theory of several complex variables.
Keywords
Cite
@article{arxiv.1410.1697,
title = {On functional analytic approach for Gleason problem in the theory of SCV},
author = {Shital Patel},
journal= {arXiv preprint arXiv:1410.1697},
year = {2021}
}
Comments
39 pages; Section 4 has marginally been improved by establishing some crucial characterization theorems