@Article{Giribet2010,
  author   = {Giribet, Juan I. and Maestripieri, Alejandra and {Mart{\'{i}}nez Per{\'{i}}a}, Francisco},
  title    = {{Abstract splines in Krein spaces}},
  journal  = {Journal of Mathematical Analysis and Applications},
  year     = {2010},
  volume   = {369},
  number   = {1},
  pages    = {423--436},
  issn     = {0022247X},
  abstract = {We present generalizations to Krein spaces of the abstract interpolation and smoothing problems proposed by Atteia in Hilbert spaces: given a Krein space K and Hilbert spaces H and E (bounded) surjective operators T:H→K and VH→E, $\rho${\textgreater}0 and a fixed z0∈E, we study the existence of solutions of the problems argmin{\{}[Tx,Tx]K: Vx=z0{\}} and argmin{\{}[Tx,Tx]K+$\rho${\{}norm of matrix{\}}Vx-z0{\{}norm of matrix{\}}E 2x∈H{\}}. {\textcopyright} 2010 Elsevier Inc.},
  doi      = {10.1016/j.jmaa.2010.03.016},
  file     = {:Users/juan/Library/Application Support/Mendeley Desktop/Downloaded/Giribet, Maestripieri, Mart{\'{i}}nez Per{\'{i}}a - 2010 - Abstract splines in Krein spaces.pdf:pdf},
  keywords = {Abstract splines,Krein spaces,Oblique projections},
}

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