An index formula for $n$-tuple of shifts on polydisk
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- by Ke Ren Yan PDF
- Proc. Amer. Math. Soc. 121 (1994), 747-754 Request permission
Abstract:
Let $({M_{{z_1}}}, \ldots ,{M_{{z_n}}})$ be an n-tuple of shift operators on the polydisk ${l^2}({{\mathbf {Z}}^n})$; we compress it to a variety of subspaces of ${l^2}({{\mathbf {Z}}^n})$ that are combinatorially constructed. The main result is a multivariate Fredholm index formula, which links the indices of the n-tuples to their combinatorial data in the definitions of the subspaces.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 747-754
- MSC: Primary 47A13; Secondary 47A53, 47B20
- DOI: https://doi.org/10.1090/S0002-9939-1994-1185275-3
- MathSciNet review: 1185275