We establish a sufficient condition for the sum of two closed convex cones K and L of a reflexive Banach space to be closed

Contact details are reproduced from the original publication and may be historical.

  1. A. Auslender, M. Teboulle: Asymptotic Cones and Functions in Optimization and Variational Inequalities, Springer, New York (2003).Google Scholar
  2. N. Dunford, J. Schwartz: Linear Operators, Interscience Publishers, New York (1957).Google Scholar
  3. M. Fabian, P. Habala, P. Hajek, V. M. Santalucia, J. Pelant, V. Zizler: Functional Analysis and Infinte-Dimensional Geometry, Springer, Berlin (2001).https://doi.org/10.1007/978-1-4757-3480-5Google Scholar
  4. P. R. Halmos: Introduction to Hilbert Space, Chelsea Publishing, New York (1951).Google Scholar
  5. P. R. Halmos: A Hilbert Space Problem Book, Van Nostrand, Princeton (1967).Google Scholar
  6. H. Heuser: Funktionalanalysis, Teubner, Stuttgart (1986).https://doi.org/10.1007/978-3-322-96755-8Google Scholar
  7. T. J. Morrison: Functional Analysis. An Introduction to Banach Space Theory, Wiley, New York (2001).https://doi.org/10.1002/9781118032992Google Scholar
  8. I. E. Schochetman, R. L. Smith, S.-K. Tsui: On the closure of the sum of closed subspaces, Int. J. Math. Math. Sci. 26(5) (2001) 257–269.https://doi.org/10.1155/S0161171201005324Google Scholar

E. Beutner. “On the Closedness of the Sum of Closed Convex Cones in Reflexive Banach Spaces.” Journal of Convex Analysis 14 (2007), No. 1, 99–102. https://doi.org/10.68381/jca14007