Submodules in polydomains and noncommutative varieties
Functional Analysis
2020-04-27 v2 Operator Algebras
Abstract
Tensor product of Fock spaces is analogous to the Hardy space over the unit polydisc. This plays an important role in the development of noncommutative operator theory and function theory in the sense of noncommutative polydomains and noncommutative varieties. In this paper we study joint invariant subspaces of tensor product of full Fock spaces and noncommutative varieties. We also obtain, in particular, by using techniques of noncommutative varieties, a classification of joint invariant subspaces of -fold tensor products of Drury-Arveson spaces.
Cite
@article{arxiv.2002.01813,
title = {Submodules in polydomains and noncommutative varieties},
author = {Susmita Das and Deepak Kumar Pradhan and Jaydeb Sarkar},
journal= {arXiv preprint arXiv:2002.01813},
year = {2020}
}
Comments
revised version, 27 pages