Simultaneous Triangularization

A collection of matrices is said to be triangularizable if there is an invertible matrix S such that S1 AS is upper triangular for every A in the collection. This generalization of commutativity is the subject of many classical theorems due to Engel, Kolc

  • PDF / 27,265,997 Bytes
  • 327 Pages / 439.37 x 666.142 pts Page_size
  • 93 Downloads / 225 Views

DOWNLOAD

REPORT


S. Axler F.W. Gehring K.A. Ribet

Springer Science+Business Media, LLC

Universitext Editors (North America): S. Axler, F.W. Gehring, and K.A. Ribet Aksoy/Khamsi: Nonstandard Methods in Fixed Point Theory Andersson: Topics in Complex Analysis Aupetit: A Primer on Spectral Theory BalakrishnanlRanganathan: A Textbook of Graph Theory Balser: Fonnal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations Bapat: Linear Algebra and Linear Models (2nd ed.) Berberian: Fundamentals of Real Analysis BoossIBleecker: Topology and Analysis Borkar: Probability Theory: An Advanced Course BiittcherlSilbermann: Introduction to Large Truncated Toeplitz Matrices CarlesonlGamelin: Complex Dynamics Cecil: Lie Sphere Geometry: With Applications to Submanifolds Chae: Lebesgue Integration (2nd ed.) Charlap: Bieberbach Groups and Flat Manifolds Chern: Complex Manifolds Without Potential Theory Cohn: A Classical Invitation to Algebraic Numbers and Class Fields Curtis: Abstract Linear Algebra Curtis: Matrix Groups DiBenedetto: Degenerate Parabolic Equations Dimca: Singularities and Topology of Hypersurfaces Edwards: A Fonnal Background to Mathematics I alb Edwards: A Fonnal Background to Mathematics II alb Foulds: Graph Theory Applications Friedman: Algebraic Surfaces and Holomorphic Vector Bundles Fuhrmann: A Polynomial Approach to Linear Algebra Gardiner: A First Course in Group Theory Girdingffambour: Algebra for Computer Science Goldblatt: Orthogonality and Spacetime Geometry GustafsonlRao: Numerical Range: The Field of Values of Linear Operators and Matrices Hahn: Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups Holmgren: A First Course in Discrete Dynamical Systems Howe!fan: Non-Abelian Harmonic Analysis: Applications of SL(2, R) Howes: Modem Analysis and Topology HsiehlSibuya: Basic Theory of Ordinary Differential Equations HumiIMiller: Second Course in Ordinary Differential Equations HurwitzlKritikos: Lectures on Number Theory Jennings: Modem Geometry with Applications JonesIMorrisIPearson: Abstract Algebra and Famous Impossibilities KannanlKrueger: Advanced Analysis KelIylMatthews: The Non-Euclidean Hyperbolic Plane Kostrikin: Introduction to Algebra LueckingIRubel: Complex Analysis: A Functional Analysis Approach MacLane/Moerdijk: Sheaves in Geometry and Logic Marcus: Number Fields McCarthy: Introduction to Arithmetical Functions

(continued after index)

Heydar Radjavi

Peter Rosenthal

Simultaneous Triangularization

i

Springer

Heydar Radjavi Department of Mathematics Dalhousie University Halifax, Nova Scotia B3H 3J5 Canada

Peter Rosenthal Department of Mathematics University of Toronto Toronto, Ontario M5S lAI Canada

Editorial Board (North America): S. Axler Mathematics Department San Francisco State University San Francisco, CA 94132 USA

F.W. Gehring Mathematics Department East HalI University of Michigan Ann Arbor, MI 48109-1109 USA

K.A. Ribet Department of Mathematics University of California at Berkeley Berkeley, CA 94720-3840 USA Mathematics Subjeet Classifieation (l99\): 15-