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Indexed by:期刊论文

Date of Publication:2017-01-01

Journal:Acta Scientiarum Mathematicarum

Included Journals:Scopus

Volume:83

Issue:1-2

Page Number:215-221

ISSN No.:00016969

Abstract:In order to explore the submodules in the Hardy space over the bidisk, a new equivalence relation which is based on the core operator, namely congruence, was introduced in [8]. As we know, the structure of the submodules in H2(D2) is very complicated. So it is beneficial to study some good examples of submodules. This paper studies the congruence of the Hardy submodule over the bidisk. It will be shown that the congruence of two inner sequences based submodules can be totally described by the ratio of their inner sequences. ? Bolyai Institute, University of Szeged.