The operator of minimal continuance of linear functionals

  • P. K. Belobrov


In terms of weak differentiability of norms and algebraic complementation of subspaces, the single-valuedness of the Hahn-Banach continuation is characterized, as well as its linearity as an operator. The connection is established between this continuation and the best approximation by the annihilator of the given subspace.


Linear Functional Minimal Continuance Algebraic Complementation Weak Differentiability 
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Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • P. K. Belobrov
    • 1
  1. 1.Rostov-on-Don Institute of National EconomyUSSR

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