Geometric aspects of multiparameter spectral theory

DOI10.1090/S0002-9947-98-02078-9zbMath0908.47003OpenAlexW1559991527MaRDI QIDQ4382370

Luzius Grunenfelder, Tomasž Košir

Publication date: 30 March 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02078-9

zbMATH Keywords

intersection multiplicitiesdeterminantal hypersurfacesdecomposability problemregular multiparameter systemtotal root subspace

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Matrices over function rings in one or more variables (15A54)

Related Items (3)

The Cayley--Hamilton theorem and inverse problems for multiparameter systems. ⋮ Sensitivity and Backward Perturbation Analysis of Multiparameter Eigenvalue Problems ⋮ Root vectors for geometrically simple two-parameter eigenvalues

Cites Work

• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• Complete description of determinantal representations of smooth irreducible curves
• Two parameter eigenvalue problems for matrices
• Multiparameter eigenvalue problems and expansion theorems
• Multiparameter spectral theory in Hilbert space
• Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed.
• Kronecker bases for linear matrix equations, with application to two-parameter eigenvalue problems
• LINE BUNDLES AND HOMOGENEOUS MATRICES
• An algebraic approach to multiparameter spectral theory
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