Ordered Structures And Applications: Positivity Vii (zaanen Centennial Conference), 22-26 July 2013, Leiden, The Netherlands (trends In Mathematics)

This book presents the proceedings of Positivity VII, held from 22-26 July 2013, in Leiden, the Netherlands. Positivity is the mathematical field concerned with ordered structures and their applications in the broadest sense of the word. A biyearly series of conferences is devoted to presenting the latest developments in this lively and growing discipline. The lectures at the conference covered a broad spectrum of topics, ranging from order-theoretic approaches to stochastic processes, positive solutions of evolution equations and positive operators on vector lattices, to order structures in the context of algebras of operators on Hilbert spaces. The contributions in the book reflect this variety and appeal to university researchers in functional analysis, operator theory, measure and integration theory and operator algebras. Positivity VII was also the Zaanen Centennial Conference to mark the 100th birth year of Adriaan Cornelis Zaanen, who held the chair of Analysis in Leiden for more than 25 years and was one of the leaders in the field during his lifetime. Front Matter....Pages i-xxii Minimal Projections with Respect to Numerical Radius....Pages 1-11 On Ordered C*-algebras....Pages 13-23 On L-, M-Weakly Compact and Rank-One Operators....Pages 25-33 Characterization of Riesz Spaces with Topologically Full Center....Pages 35-49 Reproducing Kernels and Positivity of Vector Bundles in Infinite Dimensions....Pages 51-75 Algebraic Absolutely Invertible Elements in Archimedean Riesz Algebras....Pages 77-90 σ-Weak Orthomorphisms....Pages 91-98 Ergodic Theorems for L1-L∞ Contractions in Banach–Kantorovich Lp-lattices....Pages 99-110 The Dedekind Completion of C(X) with Pointwise Discontinuous Functions....Pages 111-126 A Mazur–Orlicz Type Theorem in Interval Analysis and Its Consequences....Pages 127-159 Narrow Operators on Lattice-normed Spaces and Vector Measures....Pages 161-170 Quasi-compactness and Uniform Convergence of Markov Operator Nets on KB-spaces....Pages 171-178 Disjointly Homogeneous Banach Lattices and Applications....Pages 179-201 Monotonicity Properties of Banach Lattices and Their Applications – a Survey....Pages 203-232 Spectrum of Weighted Composition Operators Part III: Essential Spectra of Some Disjointness Preserving Operators on Banach Lattices....Pages 233-261 Bernoulli Processes in Riesz Spaces....Pages 263-274 Involutions and Complex Structures on Real Vector Lattices....Pages 275-279 A Unified Approach to Topological Invariants of Lorentz–Orlicz–Marcinkiewicz Spaces....Pages 281-306 On Poles of the Resolvents of Dominated Elements in Ordered Banach Algebras....Pages 307-327 A Note on Universal Operators....Pages 329-337 Matrix Monotone Functions and the Generalized Powers–Størmer Inequality....Pages 339-347 Inverses of Operator Convex Functions....Pages 349-361 Some Remarks on Approximation Properties with Applications....Pages 363-370 An Inequality Type Condition for Quasinearly Subharmonic Functions and Applications....Pages 371-394 Spectral Radii and Collatz–Wielandt Numbers for Homogeneous Order-preserving Maps and the Monotone Companion Norm....Pages 395-414 Piling Structure of Families of Matrix Monotone Functions and of Matrix Convex Functions....Pages 415-467 The Riesz Space of Minimal Usco Maps....Pages 469-480 Back Matter....Pages 481-502 ....Pages 503-507 "This book presents the proceedings of Positivity VII. Positivity is the mathematical field concerned with ordered structures and their applications in the broadest sense of the word. A biyearly series of conferences is devoted to presenting the latest developments in this lively and growing discipline. The lectures at the conference covered a broad spectrum of topics, ranging from order-theoretic approaches to stochastic processes, positive solutions of evolution equations and positive operators on vector lattices, to order structures in the context of algebras of operators on Hilbert spaces. The contributions in the book reflect this variety and appeal to university researchers in functional analysis, operator theory, measure and integration theory and operator algebras. Positivity VII was also the Zaanen Centennial Conference to mark the 100th birth year of Adriaan Cornelis Zaanen, who held the chair of Analysis in Leiden for more than 25 years and was one of the leaders in the field during his lifetime."--Cover