Functional Analysis in Asymmetric Normed Spaces

Author:   Stefan Cobzas
Publisher:   Birkhauser Verlag AG
Edition:   2013 ed.
ISBN:  

9783034804776


Pages:   219
Publication Date:   30 October 2012
Format:   Paperback
Availability:   In Print   Availability explained
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Functional Analysis in Asymmetric Normed Spaces


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Author:   Stefan Cobzas
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2013 ed.
Dimensions:   Width: 16.80cm , Height: 1.20cm , Length: 24.00cm
Weight:   3.959kg
ISBN:  

9783034804776


ISBN 10:   3034804776
Pages:   219
Publication Date:   30 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Introduction.- 1. Quasi-metric and Quasi-uniform Spaces. 1.1. Topological properties of quasi-metric and quasi-uniform spaces.- 1.2. Completeness and compactness in quasi-metric and quasi-uniform spaces.- 2. Asymmetric Functional Analysis.- 2.1. Continuous linear operators between asymmetric normed spaces.- 2.2. Hahn-Banach type theorems and the separation of convex sets.- 2.3. The fundamental principles.- 2.4. Weak topologies.- 2.5. Applications to best approximation.- 2.6. Spaces of semi-Lipschitz functions.- Bibliography.- Index.​

Reviews

From the reviews: The main aim of this book is to present the basic results on asymmetric normed spaces. ... This book can be used as a reference book by research scholars and can also be used as an introductory textbook at the master's level. (P. Veeramani, Mathematical Reviews, October, 2013) The book is structured in two chapters. ... this book contains a very important bibliographic review of the state of art and it is also a tremendous effort to unify the notation (including an index or glossary of terms at the end of the book) that must be recognized. The book is addressed to researchers and postgraduate students. (Lluis Miquel Garcia Raffi, zbMATH, Vol. 1266, 2013)


Author Information

Ştefan Cobzaş is professor at the Babes-Bolyai University Faculty of Mathematics and Computer Science in Cluj-Napoca, Romania.

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