skip to content
Exercises in functional analysis Preview this item
ClosePreview this item
Checking...

Exercises in functional analysis

Author: Constantin Costara; Dumitru Popa
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©2003.
Series: Kluwer texts in the mathematical sciences, v. 26.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This book of exercises in functional analysis contains almost 450 exercises (all with complete solutions), providing supplementary examples, counter-examples and applications for the basic notions usually presented in an introductory course in functional analysis.
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Aufgabensammlung
Problems and exercises
Problems, exercises, etc
Problèmes et exercices
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Constantin Costara; Dumitru Popa
ISBN: 1402015607 9781402015601 9789048163991 9048163994
OCLC Number: 52799020
Description: x, 451 pages ; 25 cm.
Contents: Some Standard Notations and Conventions --
Part I. Normed spaces --
Chapter 1. Open, closed, and bounded sets in normed spaces --
1.1. Exercises --
1.2. Solutions --
Chapter 2. Linear and continuous operators on normed spaces --
2.1. Exercises --
2.2. Solutions --
Chapter 3. Linear and continuous functionals. Reflexive spaces --
3.1. Exercises --
3.2. Solutions --
Chapter 4. The distance between sets in Banach spaces --
4.1. Exercises --
4.2. Solutions --
Chapter 5. Compactness in Banach spaces. Compact operators --
5.1. Exercises --
5.2. Solutions --
Chapter 6. The Uniform Boundedness Principle --
6.1. Exercises --
6.2. Solutions --
Chapter 7. The Hahn-Banach theorem --
7.1. Exercises --
7.2. Solutions --
Chapter 8. Applications for the Hahn-Banach theorem --
8.1. Exercises --
8.2. Solutions --
Chapter 9. Baire's category. The open mapping and closed graph theorems --
9.1. Exercises --
9.2. Solutions --
Part II. Hilbert spaces --
Chapter 10. Hilbert spaces, general theory --
10.1. Exercises --
10.2. Solutions --
Chapter 11. The projection in Hilbert spaces --
11.1. Exercises --
11.2. Solutions --
Chapter 12. Linear and continuous operators on Hilbert spaces --
12.1. Exercises --
12.2. Solutions --
Part III. General topological spaces --
Chapter 13. Linear topological and locally convex spaces --
13.1. Exercises --
13.2. Solutions --
Chapter 14. The weak topologies --
14.1. Exercises --
14.2. Solutions.
Series Title: Kluwer texts in the mathematical sciences, v. 26.
Responsibility: by Constantin Costara and Dumitru Popa.
More information:

Abstract:

This book contains almost 450 exercises, all with complete solutions; it provides supplementary examples, counter-examples, and applications for the basic notions usually presented in an introductory  Read more...

Reviews

Editorial reviews

Publisher Synopsis

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. ... Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/52799020> # Exercises in functional analysis
    a schema:Book, schema:CreativeWork ;
   library:oclcnum "52799020" ;
   library:placeOfPublication <http://dbpedia.org/resource/Boston> ; # Boston
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/756940#Place/dordrecht> ; # Dordrecht
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/ne> ;
   schema:about <http://id.worldcat.org/fast/936061> ; # Functional analysis
   schema:about <http://dewey.info/class/515.7/e22/> ;
   schema:about <http://id.loc.gov/authorities/subjects/sh85052312> ; # Functional analysis
   schema:about <http://experiment.worldcat.org/entity/work/data/756940#Topic/analyse_fonctionnelle> ; # Analyse fonctionnelle
   schema:about <http://experiment.worldcat.org/entity/work/data/756940#Topic/funktionalanalysis> ; # Funktionalanalysis
   schema:bookFormat bgn:PrintBook ;
   schema:contributor <http://viaf.org/viaf/273926062> ; # Dumitru Popa
   schema:copyrightYear "2003" ;
   schema:creator <http://viaf.org/viaf/164033925> ; # Constantin Costara
   schema:datePublished "2003" ;
   schema:description "This book of exercises in functional analysis contains almost 450 exercises (all with complete solutions), providing supplementary examples, counter-examples and applications for the basic notions usually presented in an introductory course in functional analysis."@en ;
   schema:description "Some Standard Notations and Conventions -- Part I. Normed spaces -- Chapter 1. Open, closed, and bounded sets in normed spaces -- 1.1. Exercises -- 1.2. Solutions -- Chapter 2. Linear and continuous operators on normed spaces -- 2.1. Exercises -- 2.2. Solutions -- Chapter 3. Linear and continuous functionals. Reflexive spaces -- 3.1. Exercises -- 3.2. Solutions -- Chapter 4. The distance between sets in Banach spaces -- 4.1. Exercises -- 4.2. Solutions -- Chapter 5. Compactness in Banach spaces. Compact operators -- 5.1. Exercises -- 5.2. Solutions -- Chapter 6. The Uniform Boundedness Principle -- 6.1. Exercises -- 6.2. Solutions -- Chapter 7. The Hahn-Banach theorem -- 7.1. Exercises -- 7.2. Solutions -- Chapter 8. Applications for the Hahn-Banach theorem -- 8.1. Exercises -- 8.2. Solutions -- Chapter 9. Baire's category. The open mapping and closed graph theorems -- 9.1. Exercises -- 9.2. Solutions -- Part II. Hilbert spaces -- Chapter 10. Hilbert spaces, general theory -- 10.1. Exercises -- 10.2. Solutions -- Chapter 11. The projection in Hilbert spaces -- 11.1. Exercises -- 11.2. Solutions -- Chapter 12. Linear and continuous operators on Hilbert spaces -- 12.1. Exercises -- 12.2. Solutions -- Part III. General topological spaces -- Chapter 13. Linear topological and locally convex spaces -- 13.1. Exercises -- 13.2. Solutions -- Chapter 14. The weak topologies -- 14.1. Exercises -- 14.2. Solutions."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/756940> ;
   schema:genre "Aufgabensammlung"@en ;
   schema:genre "Problems and exercises"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/756940#Series/kluwer_texts_in_the_mathematical_sciences> ; # Kluwer texts in the mathematical sciences ;
   schema:name "Exercises in functional analysis"@en ;
   schema:productID "52799020" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/52799020#PublicationEvent/dordrecht_boston_kluwer_academic_publishers_2003> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/756940#Agent/kluwer_academic_publishers> ; # Kluwer Academic Publishers
   schema:url <http://swbplus.bsz-bw.de/bsz256479593vlg.htm> ;
   schema:url <http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=1489097&custom%5Fatt%5F2=simple%5Fviewer> ;
   schema:url <http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=1892950&custom_att_2=simple_viewer> ;
   schema:url <http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=1892950&custom%5Fatt%5F2=simple%5Fviewer> ;
   schema:url <http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010490251&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA> ;
   schema:url <http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=1489097&custom_att_2=simple_viewer> ;
   schema:url <http://swbplus.bsz-bw.de/bsz256479593cov.htm> ;
   schema:url <http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=010490251&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA> ;
   schema:workExample <http://worldcat.org/isbn/9781402015601> ;
   schema:workExample <http://worldcat.org/isbn/9789048163991> ;
   umbel:isLike <http://bnb.data.bl.uk/id/resource/GBA370209> ;
   umbel:isLike <http://bnb.data.bl.uk/id/resource/GBA3V2180> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/52799020> ;
    .


Related Entities

<http://dbpedia.org/resource/Boston> # Boston
    a schema:Place ;
   schema:name "Boston" ;
    .

<http://experiment.worldcat.org/entity/work/data/756940#Agent/kluwer_academic_publishers> # Kluwer Academic Publishers
    a bgn:Agent ;
   schema:name "Kluwer Academic Publishers" ;
    .

<http://experiment.worldcat.org/entity/work/data/756940#Series/kluwer_texts_in_the_mathematical_sciences> # Kluwer texts in the mathematical sciences ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/52799020> ; # Exercises in functional analysis
   schema:name "Kluwer texts in the mathematical sciences ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/756940#Topic/analyse_fonctionnelle> # Analyse fonctionnelle
    a schema:Intangible ;
   schema:name "Analyse fonctionnelle"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/756940#Topic/funktionalanalysis> # Funktionalanalysis
    a schema:Intangible ;
   schema:name "Funktionalanalysis"@en ;
    .

<http://id.loc.gov/authorities/subjects/sh85052312> # Functional analysis
    a schema:Intangible ;
   schema:name "Functional analysis"@en ;
    .

<http://id.worldcat.org/fast/936061> # Functional analysis
    a schema:Intangible ;
   schema:name "Functional analysis"@en ;
    .

<http://viaf.org/viaf/164033925> # Constantin Costara
    a schema:Person ;
   schema:familyName "Costara" ;
   schema:givenName "Constantin" ;
   schema:name "Constantin Costara" ;
    .

<http://viaf.org/viaf/273926062> # Dumitru Popa
    a schema:Person ;
   schema:familyName "Popa" ;
   schema:givenName "Dumitru" ;
   schema:name "Dumitru Popa" ;
    .

<http://worldcat.org/isbn/9781402015601>
    a schema:ProductModel ;
   schema:isbn "1402015607" ;
   schema:isbn "9781402015601" ;
    .

<http://worldcat.org/isbn/9789048163991>
    a schema:ProductModel ;
   schema:isbn "9048163994" ;
   schema:isbn "9789048163991" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.