Open Problems in the Geometry and Analysis of Banach Spaces
Title | Open Problems in the Geometry and Analysis of Banach Spaces PDF eBook |
Author | Antonio J. Guirao |
Publisher | Springer |
Pages | 169 |
Release | 2018-04-22 |
Genre | Mathematics |
ISBN | 9783319815510 |
This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and biorthogonal systems, fixed points, topology and nonlinear geometry. The main purpose of this work is to help in convincing young researchers in Functional Analysis that the theory of Banach spaces is a fertile field of research, full of interesting open problems. Inside the Banach space area, the text should help expose young researchers to the depth and breadth of the work that remains, and to provide the perspective necessary to choose a direction for further study. Some of the problems are longstanding open problems, some are recent, some are more important and some are only local problems. Some would require new ideas, some may be resolved with only a subtle combination of known facts. Regardless of their origin or longevity, each of these problems documents the need for further research in this area.
Proceedings on Infinite Dimensional Holomorphy
Title | Proceedings on Infinite Dimensional Holomorphy PDF eBook |
Author | T.L. Hayden |
Publisher | Springer |
Pages | 0 |
Release | 1974-01-25 |
Genre | Mathematics |
ISBN | 9783540066194 |
An Application of Infinite Dimensional Holomorphy to the Geometry of Banach Spaces
Title | An Application of Infinite Dimensional Holomorphy to the Geometry of Banach Spaces PDF eBook |
Author | J. Arazy |
Publisher | |
Pages | 29 |
Release | 1987 |
Genre | |
ISBN |
Infinite Dimensional Holomorphy and Applications
Title | Infinite Dimensional Holomorphy and Applications PDF eBook |
Author | |
Publisher | Elsevier |
Pages | 453 |
Release | 1977-01-01 |
Genre | Mathematics |
ISBN | 0080871232 |
Infinite Dimensional Holomorphy and Applications
Complex Analysis in Banach Spaces
Title | Complex Analysis in Banach Spaces PDF eBook |
Author | J. Mujica |
Publisher | Elsevier |
Pages | 447 |
Release | 1985-11-01 |
Genre | Mathematics |
ISBN | 008087231X |
Problems arising from the study of holomorphic continuation and holomorphic approximation have been central in the development of complex analysis in finitely many variables, and constitute one of the most promising lines of research in infinite dimensional complex analysis. This book presents a unified view of these topics in both finite and infinite dimensions.
Properties of Infinite Dimensional Hamiltonian Systems
Title | Properties of Infinite Dimensional Hamiltonian Systems PDF eBook |
Author | P.R. Chernoff |
Publisher | Springer |
Pages | 165 |
Release | 2006-11-15 |
Genre | Mathematics |
ISBN | 3540372873 |
Introduction to Holomorphy
Title | Introduction to Holomorphy PDF eBook |
Author | J.A. Barroso |
Publisher | Elsevier |
Pages | 321 |
Release | 2000-04-01 |
Genre | Mathematics |
ISBN | 0080872174 |
This book presents a set of basic properties of holomorphic mappings between complex normed spaces and between complex locally convex spaces. These properties have already achieved an almost definitive form and should be known to all those interested in the study of infinite dimensional Holomorphy and its applications.The author also makes ``incursions'' into the study of the topological properties of the spaces of holomorphic mappings between spaces of infinite dimension. An attempt is then made to show some of the several topologies that can naturally be considered in these spaces.Infinite dimensional Holomorphy appears as a theory rich in fascinating problems and rich in applications to other branches of Mathematics and Mathematical Physics.