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.
Author(s): R. Nagel, U. Schloterbeck and M.P.H. Wolff (Eds.)
Series: Notas de matematica 108 North-Holland mathematics studies 122
Publisher: North-Holland
Year: 1986
Language: English
Pages: iii-xiii, 3-277
City: Amsterdam; New York :, New York, N.Y., U.S.A
Content:
Edited page
Page iii
Copyright page
Page iv
Dedication
Page v
Preface
Pages vii-viii
R. Nagel, U. Schlotterbeck, M.P.H. Wolff
List of Participants
Pages xi-xiii
Non-Linear Completely Positive Maps Original Research Article
Pages 3-13
T. Ando, M.-D. Choi
Generalizations of Self-Adjointness to Banach Spaces Original Research Article
Pages 15-25
Robert G. Bartle
Simplices in Potential Theory Original Research Article
Pages 27-39
Heinz Bauer
Spectral Properties of Some Second Order Elliptic Operators on LP-Spaces Original Research Article
Pages 41-48
E.B. Davies
Asymptotics for Bounded Semigroups on Hilbert Space Original Research Article
Pages 49-62
Jerome A. Goldstein
LP-Theory of Schrödinger Operators with a Singular Potential Original Research Article
Pages 63-78
Tosio Kato
Theory and Applications of Superconvex Spaces Original Research Article
Pages 79-118
Heinz Konig
On The Banach-Mazur Distance Between Spaces Having an Unconditional Basis Original Research Article
Pages 119-136
Joram Lindenstrauss, Andrzei Szankowski
Positive Linear Operators on LP and the Doeblin Condition Original Research Article
Pages 137-156
Heinrich P. Lotz
Local Operators, Space-Time Methods, and Evolution Equations of Diffusion Type Original Research Article
Pages 157-168
G. Lumer
Asymptotic Averages Original Research Article
Pages 169-176
W.A.J. Luxemburg
Integral Kernals and the Feynman-Kac Formalism Original Research Article
Pages 179-185
Jan A. Van Casteren
Characterization of Carleman Operators in Riesz Spaces Original Research Article
Pages 187-190
Peter van Eldik
An Ergodic Property for Certain Classes of Nonlinear Positive Operators Original Research Article
Pages 191-197
Takao Fujimoto, Ulrich Krause
Markov Semigroups and Structured Population Dynamics Original Research Article
Pages 199-208
H.J.A.M. Heijmans
Invariant Cones in Real Lie Algebras Original Research Article
Pages 209-216
Joachim Hilgert, Karl Heinrich Rofmann
Dirichlet Forms on a Measure Space Original Research Article
Pages 217-221
Francis Hirsch
Integral Representations of Stochastic Kernels Original Research Article
Pages 223-230
A. Iwanik
On Integration with Respect to a Trace Original Research Article
Pages 231-239
Michael Leinert
Generators of Positive CO -Semigroups Original Research Article
Pages 241-246
Shizuo Miyajima
Almost uniform convergence on the predual of a von Neumann algebra and an ergodic theorem Original Research Article
Pages 247-254
Dénes Petz
Spectrum-Preserving Linear Maps on the Algebra of Regular Operators Original Research Article
Pages 255-259
A.R. Sourour
An Extrapolation Theorem for the O-Spectrum Original Research Article
Pages 261-269
Lutz Weis Louisiana
Positive Operators in Reggeon Field Theory, Why? Original Research Article
Pages 271-277
Martin Zerner
