32 citations · 38 across the 13 of their papers we have counts for
4 papers · 1 filter
Arveson's Gauss-Bonnet-Chern Formula for Hilbert Modules in the Multiplier-Algebra Framework
Penghui Wang, Ruoyu Zhang, Zeyou Zhu
The present paper continues Arveson's program on curvature, Euler characteristic, and Gauss-Bonnet-Chern type formulae for Hilbert modules. For regular unitarily invariant complete…
Polydisc version of Arveson's conjecture
Penghui Wang, Chong Zhao
In the present paper, we solve the polydisc-version of Arveson Conjecture by giving a complete criteria for essential normality of homogeneous quotient modules of the Hardy module…
Commutativity of normal compact operator via projective spectrum
Tong Mao, Yikun Qiao, Penghui Wang
In this note we obtain commutativity criteria for normal compact operators using the projective spectrum. We thus improve a corresponding result obtained by Chagouel, Stessin and Z…
Essential normality of homogenous quotient modules over the polydisc: distinguished variety case
Penghui Wang, Chong Zhao
In the present paper, we study the essential normality of quotient modules over the polydisc. It is shown that if the zero variety of homogenous ideal is a distinguished variet…