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

Read the book for free with Google Books

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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