Topics in the Theory of Gibbs Semigroups

Valentin Zagrebnov (Author),

Series: Leuven Notes in Mathematical and Theoretical Physics 10

Category: Science Engineering and Technology

Language: English

ISBN: 9789058673305

Publication date: October 16, 2003

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Size: 240 x 160 x mm

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Semigroups and their generators

  1. The exponential function
  2. Contraction semigroups
  3. Quasibounded semigroups
  4. Norm continuity
  5. Holomorphic semigroups
  6. Holomorphic semigroups on a Hilbert space
  7. Perturbations of semigroups
  8. Notes

  • Trace ideals

    1. Compact operators on a Hilbert space
    2. The canonical form of a compact operator
    3. Cp (H)-Ideals
    4. Convergence theorems for Cp (H)
    5. Inequalities for Cp (H)
    6. Notes

  • Gibbs semigroups

    1. Gibbs semigroups
    2. Norm continuity, revisited
    3. Generators
    4. Po-pertubations of generators
    5. Holomorphic Gibbs semigroups
    6. Notes

  • Product Formulas

    1. The Lie product formula
    2. Product formula: norm convergence
    3. Trace norm convergence: error bound
    4. Non self-adjoint Gibbs semigroups
    5. Notes

  • Bibliography

  • Index
  • Symbols

Valentin Zagrebnov

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