Book 2014

Dynamical Systems Generated by Linear Maps

Authors:

ISBN: 978-3-319-08227-1 (Print) 978-3-319-08228-8 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xii

  2. No Access

    Chapter

    Pages 1-6

    Introduction

  3. Vector Trajectory

    1. Front Matter

      Pages 7-7

    2. No Access

      Chapter

      Pages 9-15

      The Jordan Basis and Special Subspaces

    3. No Access

      Chapter

      Pages 17-28

      Representation of the Vector Trajectory

    4. No Access

      Chapter

      Pages 29-44

      The Structures Related to the Principal Term of the Vector Trajectory

    5. No Access

      Chapter

      Pages 45-59

      The Asymptotic Behavior of Vector Trajectories and Trajectories of One-Dimensional Subspaces

  4. Subspace Trajectory

    1. Front Matter

      Pages 61-61

    2. No Access

      Chapter

      Pages 63-79

      Subspaces

    3. No Access

      Chapter

      Pages 81-88

      The Action of a Linear Map on the Grassmann Manifold

    4. No Access

      Chapter

      Pages 89-97

      The Exterior Algebra and Subspaces

    5. No Access

      Chapter

      Pages 99-106

      The Algebraic Approach to the Study of Subspace Trajectory

    6. No Access

      Chapter

      Pages 107-112

      The Geometric Approach

    7. No Access

      Chapter

      Pages 113-139

      The Geometric Approach: An Operator with One Point Spectrum

    8. No Access

      Chapter

      Pages 141-155

      The Convergence of a Subspace Trajectory for an Arbitrary Operator

  5. The Applications to Weighted Shift Operators

    1. Front Matter

      Pages 157-157

    2. No Access

      Chapter

      Pages 159-176

      The Spectrum of Weighted Shift Operator

    3. No Access

      Chapter

      Pages 177-184

      The Subtle Spectral Properties

    4. No Access

      Chapter

      Pages 185-199

      The Weighted Shift Operators in Spaces of Vector Functions

  6. Back Matter

    Pages 201-203