A Really Simple Elementary Proof of the Uniform Boundedness Principle in F-spaces
By: José L. Ansorena
References
- S. Banach and H. Steinhaus, Sur le principe de la condensation de singularités, Fund. Math. 9 (1927), 50–60.
- N.J. Kalton, N.T. Peck, and J.W. Roberts, An F-space Sampler, London Math. Soc. Lecture Note Ser., 89, Cambridge University Press, Cambridge, 1984.
- W. Rudin, Functional Analysis, Second ed., Internat. Ser. Pure Appl. Math., McGraw-Hill, Inc., New York, 1991.
- A.D. Sokal, A really simple elementary proof of the uniform boundedness theorem, Amer. Math. Monthly 118 (2011), no. 5, 450–452.
- C. Swartz, The evolution of the uniform boundedness principle, Math. Chronicle 19 (1990), 1–18.
Language: English
Page range: 42 - 45
Submitted on: Mar 28, 2024
Accepted on: Jun 3, 2024
Published on: Jun 7, 2024
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Related subjects:
© 2024 José L. Ansorena, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.