Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Entire DC Network
Lorentz Group Of Submodules In H²(D²), Yue Wu
Lorentz Group Of Submodules In H²(D²), Yue Wu
Legacy Theses & Dissertations (2009 - 2024)
Submodules of the Hardy space have connections with many areas in operator
On Numerical Invariants Of Submodules In H²(D²), Yixin Yang
On Numerical Invariants Of Submodules In H²(D²), Yixin Yang
Legacy Theses & Dissertations (2009 - 2024)
This thesis studies the submodules of $H^2(\mathbb{D}^2)$ by using operator theoretic approaches. The first part focus on the two pairs of operators (R_z,R_w) and (S_z,S_w) on a submodule. The second part studies the two-inner-sequences-based submodules from the point view of operator model theory. Lastly, using inner-sequence-based submodules, we show that the multivariable Berger-Shaw theorem may not exist.