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The Fredholm index of quotient Hilbert modules

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Publication:812537
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DOI10.4310/MRL.2005.V12.N6.A11zbMath1100.47009MaRDI QIDQ812537

Xiang Fang

Publication date: 24 January 2006

Published in: Mathematical Research Letters (Search for Journal in Brave)


zbMATH Keywords

Bergman spaceFock spaceHilbert moduleSamuel multiplicityFredholm indexfiber dimension


Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Topological algebras, normed rings and algebras, Banach algebras (46H99)


Related Items (6)

The graded structure induced by operators on a Hilbert space ⋮ An additive formula for Samuel multiplicities on Hilbert spaces of analytic functions ⋮ Additive invariants on the Hardy space over the polydisc ⋮ Transitive algebras and reductive algebras on reproducing analytic Hilbert spaces ⋮ The Fredholm index of a pair of commuting operators. II ⋮ Fiber dimension for invariant subspaces







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