3 papers
math.FA2026
Operator Models via Compact Embedding
Dexie Lin, Yi Wang
In this paper, we extend several function-theoretic and geometric constructions to the realm of multi-variable operator theory. A commuting tuple of bounded linear operators on a H…
math.DG2025
A note on $\tmd$-operator
Dexie Lin, Hengyu Zhou
In almost Kähler manifolds, one of the challenges is to construct an elliptic operator on functions that plays a role analogous to the operator in complex…
math.DG2025
Compatible almost complex structures on the Hard Lefschetz condition
Dexie Lin
For a compact Kähler manifold, it is well-established that its de Rham cohomology satisfies the Hard Lefschetz condition, which is reflected in the equality between the Betti numb…