Two Types of Invariant Subspaces in the Polydisc

Koca B. B.

RESULTS IN MATHEMATICS, vol.71, pp.1297-1305, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 71
  • Publication Date: 2017
  • Doi Number: 10.1007/s00025-016-0645-5
  • Journal Name: RESULTS IN MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1297-1305
  • Istanbul University Affiliated: Yes

Abstract

It is known that the structure of invariant subspaces of the Hardy space H-2(D-n) on the polydisc D-n is very complicated; hence, we need good examples help us to understand the structure of invariant subspaces of H-2(D-n). In this paper, we define two types of invariant subspaces of H-2(D-n). Then, we give a characterization of these types invariant subspaces in view of the Beurling-Lax-Halmos Theorem. Unitary equivalence is also studied in this paper.