An Introduction to Models and Decompositions in Operator Theory

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An Introduction to Models and Decompositions in Operator Theory

An Introduction to Models and Decompositions in Operator Theory

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An Introduction to Models and Decompositions in Operator Theory

  • Brand: Unbranded

€69.00

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€69.00

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An Introduction to Models and Decompositions in Operator Theory

0. Preliminaries. - 0. 1. Hilbert-Space Operators. - 0. 2. Spectrum of an Operator. - 0. 3. Convergence and Stability. - 0. 4. Projections and Isometries. - 0. 5. Invariant Subspaces. - 0. 6. Spectral Theorem. - 1. Equivalence. - 1. 1. Parts. - 1. 2. Norms. - 2. Shifts. - 2. 1. Unilateral Shifts. - 2. 2. Bilateral Shifts. - 3. Contractions. - 3. 1. The Strong Limits of {T*nTn} and {TnT*n}. - 3. 2. The Isometry V on R(A)-. - 4. Quasisimilarity. - 4. 1. Invariant Subspaces. - 4. 2. Hyperinvariant Subspaces. - 4. 3. Contractions Quasisimilar to a Unitary Operator. - 5. Decompositions. - 5. 1. Nagy-Foia?Langer Decomposition. - 5. 2. von Neumann-Wold Decomposition. - 5. 3. A Decomposition for Contractions with A = A2. - 6. Models. - 6. 1. Rota's Model. - 6. 2. de Branges-Rovnyak Refinement. - 6. 3. Durszt Extension. - 7. Applications. - 7. 1. A Pattern for Contractions. - 7. 2. Foguel Decomposition. - 8. Similarity. - 8. 1. Power Boundedness. - 8. 2. Weak and Strong Stability. - References. Language: English
  • Brand: Unbranded
  • Category: Education
  • Artist: Carlos S. Kubrusly
  • Format: Paperback
  • Language: English
  • Publication Date: 2012/10/13
  • Publisher / Label: Birkhäuser
  • Number of Pages: 132
  • Fruugo ID: 337916369-741575861
  • ISBN: 9781461273745

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