FACTORIZATION OF A HILBERT SPACE ON THE BIDISK

• Journal title : Honam Mathematical Journal
• Volume 31, Issue 4,  2009, pp.479-487
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2009.31.4.479
Title & Authors
FACTORIZATION OF A HILBERT SPACE ON THE BIDISK
Yang, Mee-Hyea; Hong, Bum-Il;

Abstract
Let $\small{S(z_1,z_2),\;S_1(z_1,z_2)}$ and $\small{S_2(z_1,z_2)}$ be power series with operator coefficients such that $\small{S_(z_1,\;z_2)=S_1(z_1,z_2)S_2(z_1,z_2)}$. Assume that the multiplications by $\small{S_1(z_1,z_2)}$ and $\small{S_2(z_1,z_2)}$ are contractive transformations in H($\small{\mathbb{D}^2,\;\mathcal{C}}$). Then the factorizations of spaces $\small{\mathcal{D}(\mathbb{D},\;\tilde{S})}$ and $\small{\mathcal{D}(\mathbb{D}^2,\mathcal{S})}$ are well-behaved.
Keywords
Factorization;Unitary linear system;
Language
English
Cited by
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