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A Really Simple Elementary Proof of the Uniform Boundedness Principle in F-spaces Cover

A Really Simple Elementary Proof of the Uniform Boundedness Principle in F-spaces

Open Access
|Jun 2024

References

  1. S. Banach and H. Steinhaus, Sur le principe de la condensation de singularités, Fund. Math. 9 (1927), 50–60.
  2. 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.
  3. W. Rudin, Functional Analysis, Second ed., Internat. Ser. Pure Appl. Math., McGraw-Hill, Inc., New York, 1991.
  4. A.D. Sokal, A really simple elementary proof of the uniform boundedness theorem, Amer. Math. Monthly 118 (2011), no. 5, 450–452.
  5. C. Swartz, The evolution of the uniform boundedness principle, Math. Chronicle 19 (1990), 1–18.
DOI: https://doi.org/10.2478/amsil-2024-0017 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 42 - 45
Submitted on: Mar 28, 2024
Accepted on: Jun 3, 2024
Published on: Jun 7, 2024
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:

© 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.