Functional Analysis: Surveys and Recent Results III

Functional Analysis: Surveys and Recent Results III
Author: K.-D. Bierstedt
Publisher: Elsevier
Total Pages: 397
Release: 2000-04-01
Genre: Mathematics
ISBN: 0080872018

This volume contains 22 articles on topics of current interest in functional analysis, operator theory and related areas. Some of the papers have connections with complex function theory in one and several variables, probability theory and mathematical physics.Surveys of some areas of recent progress in functional analysis are given and related new results are presented. The topics covered in this volume supplement the discussion of modern functional analysis in the previous Proceedings volumes. Together with the previous volumes, the reader obtains a good impression of many aspects of present-day functional analysis and its applications. Parts of this volume can be used profitably in advanced seminars and courses in functional analysis.

Functional Analysis

Functional Analysis
Author: Edward E., Jr. Odell
Publisher: Springer
Total Pages: 211
Release: 2006-11-14
Genre: Mathematics
ISBN: 3540474935

The papers in this volume yield a variety of powerful tools for penetrating the structure of Banach spaces, including the following topics: the structure of Baire-class one functions with Banach space applications, operator extension problems, the structure of Banach lattices tensor products of operators and Banach spaces, Banach spaces of certain classes of Fourier series, uniformly stable Banach spaces, the hyperplane conjecture for convex bodies, and applications of probability theory to local Banach space structure. With contributions by: R. Haydon, E. Odell, H. Rosenthal: On certain classes of Baire-1 functions with applications to Banach space theory.- K. Ball: Normed spaces with a weak-Gordon-Lewis property.- S.J. Szarek: On the geometry of the Banach-Mazur compactum.- P. Wojtaszczyk: Some remarks about the space of measures with uniformly bounded partial sums and Banach-Mazur distances between some spaces of polynomials.- N. Ghoussoub, W.B. Johnson: Operators which factor through Banach lattices not containing co.- W.B. Johnson, G. Schechtman: Remarks on Talagrand's deviation inequality for Rademacher functions.- M. Zippin: A Global Approach to Certain Operator Extension Problems.- H. Knaust, E. Odell: Weakly null sequences with upper lp-estimates.- H. Rosenthal, S.J. Szarek: On tensor products of operators from Lp to Lq.- T. Schlumprecht: Limited Sets in Injective Tensor Products.- F. Räbiger: Lower and upper 2-estimates for order bounded sequences and Dunford-Pettis operators between certain classes of Banach lattices.- D.H. Leung: Embedding l1 into Tensor Products of Banach Spaces.- P. Hitczenko: A remark on the paper "Martingale inequalities in rearrangement invariant function spaces" by W.B. Johnson, G. Schechtman.- F. Chaatit: Twisted types and uniform stability.

Aspects of Positivity in Functional Analysis

Aspects of Positivity in Functional Analysis
Author: R. Nagel
Publisher: Elsevier
Total Pages: 274
Release: 2011-10-10
Genre: Mathematics
ISBN: 9780080872339

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.

Complex Analysis on Infinite Dimensional Spaces

Complex Analysis on Infinite Dimensional Spaces
Author: Sean Dineen
Publisher: Springer Science & Business Media
Total Pages: 553
Release: 2012-12-06
Genre: Mathematics
ISBN: 1447108698

Infinite dimensional holomorphy is the study of holomorphic or analytic func tions over complex topological vector spaces. The terms in this description are easily stated and explained and allow the subject to project itself ini tially, and innocently, as a compact theory with well defined boundaries. However, a comprehensive study would include delving into, and interacting with, not only the obvious topics of topology, several complex variables theory and functional analysis but also, differential geometry, Jordan algebras, Lie groups, operator theory, logic, differential equations and fixed point theory. This diversity leads to a dynamic synthesis of ideas and to an appreciation of a remarkable feature of mathematics - its unity. Unity requires synthesis while synthesis leads to unity. It is necessary to stand back every so often, to take an overall look at one's subject and ask "How has it developed over the last ten, twenty, fifty years? Where is it going? What am I doing?" I was asking these questions during the spring of 1993 as I prepared a short course to be given at Universidade Federal do Rio de Janeiro during the following July. The abundance of suit able material made the selection of topics difficult. For some time I hesitated between two very different aspects of infinite dimensional holomorphy, the geometric-algebraic theory associated with bounded symmetric domains and Jordan triple systems and the topological theory which forms the subject of the present book.

Recent Progress in General Topology III

Recent Progress in General Topology III
Author: K.P. Hart
Publisher: Springer Science & Business Media
Total Pages: 898
Release: 2013-12-11
Genre: Mathematics
ISBN: 946239024X

The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002). The book was prepared in connection with the Prague Topological Symposium, held in 2011. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs from that chosen in 2002. The following areas experienced significant developments: Fractals, Coarse Geometry/Topology, Dimension Theory, Set Theoretic Topology and Dynamical Systems.

Non-Self-Adjoint Boundary Eigenvalue Problems

Non-Self-Adjoint Boundary Eigenvalue Problems
Author: R. Mennicken
Publisher: Gulf Professional Publishing
Total Pages: 536
Release: 2003-06-26
Genre: Mathematics
ISBN: 9780444514479

The 'North-Holland Mathematics Studies' series comprises a set of cutting-edge monographs and studies. This volume explores non-self-adjoint boundary eigenvalue problems for first order systems of ordinary differential equations and n-th order scalar differential equations.

Positive Semigroups of Operators, and Applications

Positive Semigroups of Operators, and Applications
Author: O. Bratteli
Publisher: Springer Science & Business Media
Total Pages: 200
Release: 2012-12-06
Genre: Mathematics
ISBN: 9400964846

This means that semigroup theory may be applied directly to the study of the equation I'!.f = h on M. In [45] Yau proves that, for h ~ 0, there are no nonconstant, nonnegative solutions f in [j' for 1