Characterization of invariant subspaces in the polydisc
Article Type
Research Article
Publication Title
Journal of Operator Theory
Abstract
We give a complete characterization of invariant subspaces for (Mz1, . . ., Mzn) on the Hardy space H2(D[double-struck]n) over the unit polydisc D[double-struck]n in ℂn, n > 1. In particular, this yields a complete set of unitary invariants for invariant subspaces for (Mz1, . . ., Mzn) on H2(D[double-struck]n). As a consequence, we classify a large class of n-tuples of commuting isometries. All of our results hold for vector-valued Hardy spaces over Dn, n > 1.
First Page
445
Last Page
468
DOI
10.7900/jot.2018jun07.2204
Publication Date
1-1-2019
Recommended Citation
Maji, Amit; Mundayadan, Aneesh; Sarkar, Jaydeb; and Sankar, T. R., "Characterization of invariant subspaces in the polydisc" (2019). Journal Articles. 1025.
https://digitalcommons.isical.ac.in/journal-articles/1025
