An index formula for the two variable Jordan block

DOI10.1090/S0002-9939-2010-10497-5zbMath1213.47006MaRDI QIDQ3082319

Rongwei Yang, Yixin Yang, Yu Feng Lu

Publication date: 10 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

index formulaevaluation operatorHardy space over bidisktwo variable Jordan block

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) (Semi-) Fredholm operators; index theories (47A53) Dilations, extensions, compressions of linear operators (47A20) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (1)

Hilbert-schmidtness of some finitely generated submodules in \(H^2(\mathbb{D}^2)\)

Cites Work

• On two variable Jordan block. II
• Essentially normal Hilbert modules and \(K\)-homology. III: Homogeneous quotient modules of Hardy modules on the bidisk
• Beurling's phenomenon in two variables
• Defect operators, defect functions and defect indices for analytic submodules
• The core operator and congruent submodules
• Fredholm and Invertible n-Tuples of Operators. The Deformation Problem
• BCL index and Fredholm tuples
• The curvature invariant of a Hilbert module over ℂ [z1, ..., zd]
• The core function of submodules over the bidisk
• On the index of invariant subspaces in spaces of analytic functions of several complex variables
• Operator theory in the Hardy space over the bidisk. III
• Operator theory in the Hardy space over the bidisk. II
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