Aspects of positivity in functional analysis proceedings of the conference held on the occasion of H.H. Schaefer's 60th birthday, Tübingen, 24-28 June 1985 / [edited by] R. Nagel, U. Schlotterbeck, M.P.H. Wolff.

• Front Cover; Aspects of Positivity in Functional Analysis; Copyright Page; Table of Contents; Preface; List of Participants; PART I: INVITED LECTURES; Chapter 1. Non-Linear Completely Positive Maps; Chapter 2. Generalizations of Self-adjointness to Banach Spaces; Chapter 3. Simplices in Potential Theory; Chapter 4. Spectral Properties of Some Second Order Elliptic Operators on LP-Spaces; Chapter 5. Asymptotics for Bounded Semigroups on Hilbert Space; Chapter 6. LP-Theory of Schrodinger Operators with a Singular Potential; Chapter 7. Theory and Applications of Superconvex Spaces. 
• Chapter 8. On the Banach-Mazur Distance Between Spaces Having an Unconditional BasisChapter 9. Positive Linear Operators on Lp and the Doeblin Condition; Chapter 10. Local Operators, Space-Time Methods, and Evolution Equations of Diffusion Type; Chapter 11. Asymptotic Averages; PART II: SHORT COMMUNICATIONS; Chapter 1. Integral Kernels and the Feynman-Kac Formalism; Chapter 2. Characterization of Carleman Operators in Riesz Spaces; Chapter 3. An Ergodic Property for Certain Classes of Nonlinear Positive Operators; Chapter 4. Markov Semigroups and Structured Population Dynamics. 
• Chapter 5. Invariant Cones in Real Lie AlgebrasChapter 6. Dirichlet Forms on a Measure Space; Chapter 7. Integral Representations of Stochastic Kernels; Chapter 8. On Integration with Respect to a Trace; Chapter 9. Generators of Positive Co-Semigroups; Chapter 10. Almost Uniform Convergence on the Predual of a von Neumann Algebra and an Ergodic Theorem; Chapter 11. Spectrum-Preserving Linear Maps on the Algebra of Regular Operators; Chapter 12. An Extrapolation Theorem for the o-spectrum; Chapter 13. Positive Operators in Reggeon Field Theory, why?. 

• The contributions collected in this volume exhibit the increasingly wide spectrum of applications of abstract order theory in analysis and show the possibilities of order-theoretical argumentation.The following areas are discussed: potential theory, partial differential operators of second order, Schrodinger operators, theory of convexity, one-parameter semigroups, Lie algebras, Markov processes, operator-algebras, noncommutative integration and geometry of Banach spaces.

Ämnesord

Functional analysis  -- Congresses. (LCSH)

Personnamn

Schaefer, Helmut H.

Publikations- och innehållstyp

510 s 515.7 19 (DDC)

Ta (kssb/8 (machine generated))