Commutators of inner projections are compact on the disk Hardy space precisely when a Douglas algebra condition holds; on the bidisc their product is compact only if finite rank, and on higher polydiscs any compact product must be trivial.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Compactness of products and commutators of inner projections
Commutators of inner projections are compact on the disk Hardy space precisely when a Douglas algebra condition holds; on the bidisc their product is compact only if finite rank, and on higher polydiscs any compact product must be trivial.