Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem


Alpay D., Kaptanoglu H.

INTEGRAL EQUATIONS AND OPERATOR THEORY, cilt.42, ss.1-21, 2002 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 42 Konu: 1
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1007/bf01203020
  • Dergi Adı: INTEGRAL EQUATIONS AND OPERATOR THEORY
  • Sayfa Sayıları: ss.1-21

Özet

We solve Gleason's problem in the reproducing kernel Hilbert space with reproducing kernel 1/(1 - Sigma(1)(N) z(j)w(j)*). We define and study some finite-dimensional resolvent-invariant subspaces that generalize the finite-dimensional de Branges-Rovnyak spaces to the setting of the ball.