Around Discontinuity for the Riesz Projection in the Uniform Metric

The present paper is based on a lecture given by the author at the conference ‘‘Complex Analysis and Related Problems’’ (Kazan, Russia, June 29–July 4, 2022). The lecture was devoted to the Glicksberg conjecture and a related but independent assertion that the sums of certain ideals in a uniform alg...

Full description

Saved in:
Bibliographic Details
Published inLobachevskii journal of mathematics Vol. 44; no. 10; pp. 4537 - 4545
Main Author Kislyakov, S. V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.10.2023
Springer Nature B.V
Subjects
Algebra
Analysis
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Riesz projection
Glicksberg conjecture
nonclosed sums
Hardy–Lebesgue pairs
Online AccessGet full text

Cover

More Information
Summary:The present paper is based on a lecture given by the author at the conference ‘‘Complex Analysis and Related Problems’’ (Kazan, Russia, June 29–July 4, 2022). The lecture was devoted to the Glicksberg conjecture and a related but independent assertion that the sums of certain ideals in a uniform algebra are never closed. The present paper puts forward several new formulations in comparison with those given in the lecture and in the existing literature.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223100244