5 papers
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…
The norms for symmetric and antisymmetric tensor products of the weighted shift operators
Xiance Tian, Penghui Wang, Zeyou Zhu
In the present paper, we study the norms for symmetric and antisymmetric tensor products of weighted shift operators. By proving that for , $$\|S_α^{l_1}\odot\cdots \odot…
Arveson's version of the Gauss-Bonnet-Chern formula for Hilbert modules over the polynomial rings
Penghui Wang, Ruoyu Zhang, Zeyou Zhu
In this paper, we refine the framework of Arveson's version of the Gauss-Bonnet-Chern formula by proving that a submodule in the Drury-Arveson module being locally algebraic is equ…
Fredholm index of Toeplitz pairs with symbols
Penghui Wang, Zeyou Zhu
In the present paper, we characterize the Fredholmness of Toeplitz pairs on Hardy space over the bidisk with the bounded holomorphic symbols, and hence we obtain the index formula…
Essential normality of quotient modules vs. Hilbert-Schmidtness of submodules in
Penghui Wang, Chong Zhao, Zeyou Zhu
In the present paper, we prove that all the quotient modules in , associated to the finitely generated submodules containing a distinguished homogenous polynomial…