Journal of Mathematical Sciences

, Volume 194, Issue 5, pp 532–538 | Cite as

About one class of bases in some spaces of functions analytical in a unit disk

  • Gennadii Mikhailovich Gubreev
  • Elena Ivanovna Olefir


An abstract scheme of solution to the problem of constructing the unconditional bases of a special form in the Hilbert spaces of functions analytical in a unit disk is described. An application to the theory of infinite matrices in the l 2 space is given.


Unconditional bases nonself-adjoint operators de Branges spaces sine-type function 


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Gennadii Mikhailovich Gubreev
    • 1
  • Elena Ivanovna Olefir
    • 2
  1. 1.Yu. Kondratyuk Poltava National Technical UniversityPoltavaUkraine
  2. 2.K. D. Ushinskii South-Ukrainian National Pedagogical UniversityOdessaUkraine

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