Open Problems in the Geometry and Analysis of Banach Spaces

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Cover of the book Open Problems in the Geometry and Analysis of Banach Spaces by Antonio J. Guirao, Vicente Montesinos, Václav Zizler, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Antonio J. Guirao, Vicente Montesinos, Václav Zizler ISBN: 9783319335728
Publisher: Springer International Publishing Publication: July 26, 2016
Imprint: Springer Language: English
Author: Antonio J. Guirao, Vicente Montesinos, Václav Zizler
ISBN: 9783319335728
Publisher: Springer International Publishing
Publication: July 26, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Membranes by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Cover of the book Advances in the Understanding of Biological Sciences Using Next Generation Sequencing (NGS) Approaches by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Cover of the book Human-Computer Interaction – INTERACT 2017 by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Cover of the book Computer and Information Science by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Cover of the book Intelligent Information and Database Systems by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Cover of the book Green Biocomposites by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Cover of the book Heads, Jaws, and Muscles by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Cover of the book Concrete Structures by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Cover of the book Nanoscience in Food and Agriculture 5 by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Cover of the book Top 50 Dermatology Case Studies for Primary Care by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Cover of the book Fuzzy Logic Augmentation of Neural and Optimization Algorithms: Theoretical Aspects and Real Applications by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Cover of the book Information and Communication Technologies of Ecuador (TIC.EC) by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Cover of the book New Challenges in Grid Generation and Adaptivity for Scientific Computing by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Cover of the book Network Biology by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Cover of the book Pelton Turbines by Antonio J. Guirao, Vicente Montesinos, Václav Zizler
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy