Spectral properties of quotients of Beurling-type submodules of the Hardy module over the unit ball

• Autorzy: Kunyu Guo , Yongjiang Duan
• Języki publikacji: EN

Abstrakty

EN

Let M be a Beurling-type submodule of $H²(𝔹_{d})$, the Hardy space over the unit ball $𝔹_{d}$ of $ℂ^{d}$, and let $N = H²(𝔹_{d})/M$ be the associated quotient module. We completely describe the spectrum and essential spectrum of N, and related index theory.

Kategorie tematyczne

• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 46C99: None of the above, but in this section
• 47A13: Several-variable operator theory (spectral, Fredholm, etc.)
• 47A20: Dilations, extensions, compressions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 177
• Numer: 2
• Strony: 141-152

Daty

wydano

2006

Twórcy

autor

Kunyu Guo

• Department of Mathematics, Fudan University, Shanghai, 200433, P.R. China

autor

Yongjiang Duan

• Department of Mathematics, Fudan University, Shanghai, 200433, P.R. China

Identyfikatory

DOI

10.4064/sm177-2-4