Exercises in Functional Analysis (Texts in the Mathematical Sciences, nr. 26)

De (autor) ,
Notă GoodReads:
en Limba Engleză Hardback – 30 Sep 2003
The understanding of results and notions for a student in mathematics requires solving ex­ ercises. The exercises are also meant to test the reader's understanding of the text material, and to enhance the skill in doing calculations. This book is written with these three things in mind. It is a collection of more than 450 exercises in Functional Analysis, meant to help a student understand much better the basic facts which are usually presented in an introductory course in Functional Analysis. Another goal of this book is to help the reader to understand the richness of ideas and techniques which Functional Analysis offers, by providing various exercises, from different topics, from simple ones to, perhaps, more difficult ones. We also hope that some of the exercises herein can be of some help to the teacher of Functional Analysis as seminar tools, and to anyone who is interested in seeing some applications of Functional Analysis. To what extent we have managed to achieve these goals is for the reader to decide.
Citește tot Restrânge
Toate formatele și edițiile
Toate formatele și edițiile Preț Express
Paperback (1) 44956 lei  7-9 săpt. +25063 lei  13-21 zile
  SPRINGER NETHERLANDS – 18 Dec 2010 44956 lei  7-9 săpt. +25063 lei  13-21 zile
Hardback (1) 49960 lei  7-9 săpt. +53695 lei  13-21 zile
  SPRINGER NETHERLANDS – 30 Sep 2003 49960 lei  7-9 săpt. +53695 lei  13-21 zile

Din seria Texts in the Mathematical Sciences

Preț: 49960 lei

Preț vechi: 83267 lei

Puncte Express: 749

Preț estimativ în valută:
9752 9911$ 8226£

Carte tipărită la comandă

Livrare economică 08-22 octombrie
Livrare express 02-10 septembrie pentru 54694 lei

Preluare comenzi: 021 569.72.76


ISBN-13: 9781402015601
ISBN-10: 1402015607
Pagini: 464
Ilustrații: X, 454 p.
Dimensiuni: 210 x 297 x 30 mm
Greutate: 1.83 kg
Ediția: 2003
Colecția Springer
Seria Texts in the Mathematical Sciences

Locul publicării: Dordrecht, Netherlands

Public țintă



I: Normed spaces.- 1. Open, closed, and bounded sets in normed spaces.- 2. Linear and continuous operators on normed spaces.- 3. Linear and continuous functionals. Reflexive spaces.- 4. The distance between sets in Banach spaces.- 5. Compactness in Banach spaces. Compact operators.- 6. The Uniform Boundedness Principle.- 7. The Hahn—Banach theorem.- 8. Applications for the Hahn—Banach theorem.- 9. Baire’s category. The open mapping and closed graph theorems.- II: Hilbert spaces.- 10. Hilbert spaces, general theory.- 11. The projection in Hilbert spaces.- 12. Linear and continuous operators on Hilbert spaces.- III: General topological spaces.- 13. Linear topological and locally convex spaces.- 14. The weak topologies.- List of Symbols.


From the reviews:
"The present book is one of the few books available with problems in functional analysis. … the authors have done a good job in crediting the original sources of the problems. … The layout and the exposition of the book is very good. The book will be of great help to graduate students in mathematics … . will also be very helpful to research mathematicians in analysis … . I strongly recommend the book to any person who is interested in analysis and its applications." (C. D. Aliprantis, Mathematical Reviews, Issue 2005 b)