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International Journal of Mathematics and Mathematical Sciences
Volume 26, Issue 5, Pages 257-267
http://dx.doi.org/10.1155/S0161171201005324

On the closure of the sum of closed subspaces

1Mathematics and Statistics, Oakland University, Rochester, MI 48309, USA
2Industrial and Operations Engineering, The University of Michigan, Ann Arbor, MI 48109, USA

Received 30 May 2000

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [6 citations]

The following is the list of published articles that have cited the current article.

  • Irwin E. Schochetman, Robert L. Smith, and Sze-Kai Tsui, “Convergence of minimum norm elements of projections and intersections of nested affine spaces in Hilbert space,” Journal of Mathematical Analysis and Applications, vol. 330, no. 1, pp. 467–482, 2007. View at Publisher · View at Google Scholar
  • Nika Novak, “Products of square-zero operators,” Journal of Mathematical Analysis and Applications, vol. 339, no. 1, pp. 10–17, 2008. View at Publisher · View at Google Scholar
  • Nika Novak, “Sums of commuting square-zero transformations,” Linear Algebra and its Applications, vol. 431, no. 10, pp. 1768–1773, 2009. View at Publisher · View at Google Scholar
  • I. S. Feshchenko, “On closeness of the sum of n subspaces of a Hilbert space,” Ukrainian Mathematical Journal, vol. 63, no. 10, pp. 1566–1622, 2012. View at Publisher · View at Google Scholar
  • Ivan S. Feshchenko, “On the closedness of the sum of ranges of operators with almost compact products,” Journal of Mathematical Analysis and Applications, 2014. View at Publisher · View at Google Scholar
  • Alejandro Cabrera, M. Gualtieri, and E. Meinrenken, “Dirac Geometry of the Holonomy Fibration,” Communications in Mathematical Physics, 2017. View at Publisher · View at Google Scholar