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1 results

Fredholm index of Toeplitz pairs with $H^{\infty }$ symbols
Part of
- Topological algebras, normed rings and algebras, Banach algebras
- General theory of linear operators
Penghui Wang, Zeyou Zhu
Journal:

Canadian Mathematical Bulletin , First View

Published online by Cambridge University Press:

10 December 2024, pp. 1-11
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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 for such Toeplitz pairs. The key to obtain the Fredholmness of such Toeplitz pairs is the $L^p$ solution of Corona Problem over $\mathbb {D}^2$.