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.
Rudin, Function Theory in the unit ball of Cn, Springer Verlag
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.