On Two-Dimensional Model Representations of One Class of Commuting Operators

• Date: 2014
• Main Authors: Hatamleh, R., Zolotarev, V. A., Хатамлех, Р., Золотарьов, В. А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2115
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In the work by V. A. Zolotarev, Dokl. Akad. Nauk Arm. SSR, 63, No. 3, 136–140 (1976), a triangular model is constructed for a system of twice-commuting linear bounded completely nonself-adjoint operators {A 1, A 2} ([A 1, A 2] = 0, [A 1 ∗ , A 2] = 0) such that rank (A 1) I (A 2) I  = 1 (2i(A k ) I...