Overview

One of the subjects of functional analysis is classification of Banach spaces depending on various properties of the unit ball. The need of such considerations comes from a number of applications to problems of mathematical analysis. The list of subjects includes: differential calculus in normed spaces, approximation theory, weak topologies and reflexivity, general theory of convexity and convex functions, metric fixed point theory and others. The book presents basic facts from this field.

Full Product Details

Author:   Kazimierz Goebel (Professor (emeritus), Professor (emeritus), Maria Curie-Skłodowska University, Lublin, Poland) ,  Stanislaw Prus (Professor, Professor, Maria Curie-Skłodowska University, Lublin, Poland)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 16.30cm , Height: 1.40cm , Length: 23.60cm
Weight:   0.432kg
ISBN:  

9780198827351

ISBN 10:   0198827350
Pages:   172
Publication Date:   20 September 2018
Audience:   Adult education ,  College/higher education ,  Further / Higher Education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
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Reviews

The book...offers a delightful perspective on the geometric aspects, leading the reader to marvel at the shapes and properties of balls in Banach spaces...suitable for self-study either alongside a traditional functional analysis book or as a standalone text. * Ittay Weiss, Senior Lecturer in Mathematics at the University of Portsmouth, UK, Mathematical Association of America * ...this excellent text covers a variety of attractive and important topics which are presented with elegance and concision. It is a welcome addition to the geometry of Banach spaces literature and can be warmly recommended to all students and faculty with an interest in functional analysis and related areas. * Stephen J. Dilworth, Stephen J. Dilworth *

The book...offers a delightful perspective on the geometric aspects, leading the reader to marvel at the shapes and properties of balls in Banach spaces...suitable for self-study either alongside a traditional functional analysis book or as a standalone text. * Ittay Weiss, Senior Lecturer in Mathematics at the University of Portsmouth, UK, Mathematical Association of America *

Author Information

Professor emeritus Kazimierz Goebel obtained his PhD in mathematics in 1967 at Maria Curie-Sklodowska University in Poland. Since 1963, he has been employed by UMCS and has served two three-year terms (1993-1999) as Rector of the university. At the same time, he has served as the President of the Polish Mathematical Society. Professor Goebel is the author of five books and over 70 scientific papers. He is a specialist in nonlinear problems of functional analysis, in particular metric fixed point theory. He has supervised and promoted 15 PhD students and is the visiting professor at several universities in the USA, Italy, Japan, Spain, Australia, Thailand. Moreover, he is a frequent short-term visitor, invited speaker and member of committees to a number of conferences and seminars, workshops and schools all over the world. Professor Stanislaw Prus graduated from Maria Curie-Sklodowska University, Poland, in 1979. He then obtained a PhD in mathematics in 1984 from the Mathematical Institute of Polish Academy of Science, Warsaw. Since 1979, he has been employed at UMCS and is now the author of over 45 scientific papers. Professor Prus is a specialist in the geometry of Banach spaces and nonlinear problems of functional analysis, and in particular of metric fixed point theory. He is also a frequent invited speaker and a member of committees to a number of conferences and seminars world-wide.

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