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

Alpay, D; Kaptanoglu, HT

doi:10.1007/bf01203020

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, sa.1, ss.1-21, 2002 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 42 Sayı: 1
Basım Tarihi: 2002
Doi Numarası: 10.1007/bf01203020
Dergi Adı: INTEGRAL EQUATIONS AND OPERATOR THEORY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1-21
Orta Doğu Teknik Üniversitesi Adresli: Hayır

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.