Samuel multiplicity and the structure of semi-Fredholm operators

DOI10.1016/j.aim.2003.07.013zbMath1070.47007OpenAlexW1984212629MaRDI QIDQ1877886

Xiang Fang

Publication date: 19 August 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2003.07.013

zbMATH Keywords

Hilbert moduleSamuel multiplicitysemi-Fredholm operatorFredholm indexoperator matrix

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) (Semi-) Fredholm operators; index theories (47A53) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (15)

The graded structure induced by operators on a Hilbert space ⋮ Samuel multiplicity of a semi-Fredholm operator ⋮ Samuel multiplicity and the structure of essentially semi-regular operators: a note on a paper of Fang ⋮ Three-space theorem for semi-Fredholmness ⋮ On the cellular indecomposable property of semi-Fredholm operators ⋮ On the structure of essentially semi-regular linear relations ⋮ An additive formula for Samuel multiplicities on Hilbert spaces of analytic functions ⋮ Estimates for Hilbertian Koszul homology ⋮ A generalization of the cellular indecomposable property via fiber dimension ⋮ Essentially normal Hilbert modules and \(K\)-homology ⋮ Samuel multiplicity and Fredholm theory ⋮ Transitive algebras and reductive algebras on reproducing analytic Hilbert spaces ⋮ The intersection of upper and lower semi-Browder spectrum of upper-triangular operator matrices ⋮ The Fredholm index of a pair of commuting operators. II ⋮ Fiber dimension for invariant subspaces

Cites Work

• Hilbert polynomials and Arveson's curvature invariant.
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• On a similarity theory for rational Toeplitz operators.
• Fredholm and Invertible n-Tuples of Operators. The Deformation Problem
• The Triangular Representation of C. Apostol
• Invariant subspaces of the Dirichlet space and commutative algebra
• Complex geometry and operator theory
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