skip to content
Nuclear locally convex spaces Preview this item
ClosePreview this item
Checking...

Nuclear locally convex spaces

Author: Albrecht Pietsch; William H Ruckle
Publisher: Berlin ; Heidelberg : Springer, 1972.
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete, 66; Ergebnisse der Mathematik und Ihrer Grenzgebiete., Neue Folge., 66.
Edition/Format:   Print book : EnglishView all editions and formats
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

Document Type: Book
All Authors / Contributors: Albrecht Pietsch; William H Ruckle
ISBN: 3540056440 9783540056447 0387056440 9780387056449
OCLC Number: 489633868
Notes: Traduit de : "Nukleare lokalkonvexe Räume"
Description: 1 vol.(IX-196 p.) ; 24 cm.
Contents: 0. Foundations.- 0.1. Topological Spaces.- 0.2. Metric Spaces.- 0.3. Linear Spaces.- 0.4. Semi-Norms.- 0.5. Locally Convex Spaces.- 0.6. The Topological Dual of a Locally Convex Space.- 0.7. Special Locally Convex Spaces.- 0.8. Banach Spaces.- 0.9. Hilbert Spaces.- 0.10. Continuous Linear Mappings in Locally Convex Spaces.- 0.11. The Normed Spaces Associated with a Locally Convex Space.- 0.12. Radon Measures.- 1. Summable Families.- 1.1. Summable Families of Numbers.- 1.2. Weakly Summable Families in Locally Convex Spaces.- 1.3. Summable Families in Locally Convex Spaces.- 1.4. Absolutely Summable Families in Locally Convex Spaces.- 1.5. Totally Summable Families in Locally Convex Spaces.- 1.6. Finite Dimensional Families in Locally Convex Spaces.- 2. Absolutely Summing Mappings.- 2.1. Absolutely Summing Mappings in Locally Convex Spaces.- 2.2. Absolutely Summing Mappings in Normed Spaces.- 2.3. A Characterization of Absolutely Summing Mappings in Normed Spaces.- 2.4. A Special Absolutely Summing Mappings.- 2.5. Hilbert-Schmidt Mappings.- 3. Nuclear Mappings.- 3.1. Nuclear Mappings in Normed Spaces.- 3.2. Quasinuclear Mappings in Normed Spaces.- 3.3. Products of Quasinuclear and Absolutely Summing Mappings in Normed Spaces.- 3.4. The Theorem of Dvoretzky and Rogers.- 4. Nuclear Locally Convex Spaces.- 4.1. Definition of Nuclear Locally Convex Spaces.- 4.2. Summable Families in Nuclear Locally Convex Spaces.- 4.3. The Topological Dual of Nuclear Locally Convex Spaces.- 4.4. Properties of Nuclear Locally Convex Spaces.- 5. Permanence Properties of Nuclearity.- 5.1. Subspaces and Quotient Spaces.- 5.2. Topological Products and Sums.- 5.3. Complete Hulls.- 5.4. Locally Convex Tensor Products.- 5.5. Spaces of Continuous Linear Mappings.- 6. Examples of Nuclear Locally Convex Spaces.- 6.1. Sequence Spaces.- 6.2. Spaces of Infinitely Differentiable Functions.- 6.3. Spaces of Harmonic Functions.- 6.4. Spaces of Analytic Functions.- 7. Locally Convex Tensor Products.- 7.1. Definition of Locally Convex Tensor Products.- 7.2. Special Locally Convex Tensor Products.- 7.3. A Characterization of Nuclear Locally Convex Spaces.- 7.4. The Kernel Theorem.- 7.5. The Complete rc-Tensor Product of Normed Spaces.- 8. Operators of Type lp and s.- 8.1. The Approximation Numbers of Continuous Linear Mappings in Normed Spaces.- 8.2. Mappings of Type lp.- 8.3. The Approximation Numbers of Compact Mappings in Hilbert Spaces.- 8.4. Nuclear and Absolutely Summing Mappings.- 8.5. Mappings of Type s.- 8.6. A Characterization of Nuclear Locally Convex Spaces.- 9. Diametral and Approximative Dimension.- 9.1. The Diameter of Bounded Subsets in Normed Spaces.- 9.2. The Diametral Dimension of Locally Convex Spaces.- 9.3. The Diametral Dimension of Power Series Spaces.- 9.4. The Diametral Dimension of Nuclear Locally Convex Spaces ...- 9.5. A Characterization of Dual Nuclear Locally Convex Spaces.- 9.6. The ?-Entropy of Bounded Subsets in Normed Spaces.- 9.7. The Approximative Dimension of Locally Convex Spaces..- 9.8. The Approximative Dimension of Nuclear Locally Convex Spaces.- 10. Nuclear Locally Convex Spaces with Basis.- 10.1. Locally Convex Spaces with Basis.- 10.2. Representation of Nuclear Locally Convex Spaces with Basis.- 10.3. Bases in Special Nuclear Locally Convex Spaces.- 11. Universal Nuclear Locally Convex Spaces.- 11.1. Imbedding in the Product Space (?)1.- 11.2. Imbedding in the Product Space(?)1.- Table of Symbols.
Series Title: Ergebnisse der Mathematik und ihrer Grenzgebiete, 66; Ergebnisse der Mathematik und Ihrer Grenzgebiete., Neue Folge., 66.
Responsibility: Albrecht Pietsch ; transl. from the second German edition by William H. Ruckle.

Reviews

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/489633868> # Nuclear locally convex spaces
    a schema:CreativeWork, schema:Book ;
   bgn:translationOfWork <http://www.worldcat.org/title/-/oclc/489633868#CreativeWork/unidentifiedOriginalWork> ; # Nukleare lokalkonvexe Räume
   library:oclcnum "489633868" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/132985226#Place/berlin> ; # Berlin
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/132985226#Place/heidelberg> ; # Heidelberg
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/132985226#Topic/espaces_localement_convexes> ; # Espaces localement convexes
   schema:about <http://experiment.worldcat.org/entity/work/data/132985226#Topic/fonctions_mathematiques> ; # Fonctions (mathématiques)
   schema:about <http://experiment.worldcat.org/entity/work/data/132985226#Topic/locally_convex_spaces> ; # Locally convex spaces
   schema:about <http://experiment.worldcat.org/entity/work/data/132985226#Topic/tensor_products> ; # Tensor products
   schema:about <http://experiment.worldcat.org/entity/work/data/132985226#Topic/espaces_vectoriels_topologiques> ; # Espaces vectoriels topologiques
   schema:about <http://dewey.info/class/514.3/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/132985226#Topic/produits_tensoriels> ; # Produits tensoriels
   schema:about <http://experiment.worldcat.org/entity/work/data/132985226#Topic/linear_operators> ; # Linear operators
   schema:about <http://experiment.worldcat.org/entity/work/data/132985226#Topic/operateurs_lineaires> ; # Operateurs lineaires
   schema:bookFormat bgn:PrintBook ;
   schema:contributor <http://viaf.org/viaf/37008153> ; # William H Ruckle
   schema:creator <http://viaf.org/viaf/61706967> ; # Albrecht Pietsch
   schema:datePublished "1972" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/132985226> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/132985226#Series/ergebnisse_der_mathematik_und_ihrer_grenzgebiete> ; # Ergebnisse der Mathematik und Ihrer Grenzgebiete.
   schema:name "Nuclear locally convex spaces" ;
   schema:productID "489633868" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/489633868#PublicationEvent/berlin_heidelberg_springer_1972> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/132985226#Agent/springer> ; # Springer
   schema:workExample <http://worldcat.org/isbn/9783540056447> ;
   schema:workExample <http://worldcat.org/isbn/9780387056449> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/489633868> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/132985226#Series/ergebnisse_der_mathematik_und_ihrer_grenzgebiete> # Ergebnisse der Mathematik und Ihrer Grenzgebiete.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/489633868> ; # Nuclear locally convex spaces
   schema:name "Ergebnisse der Mathematik und Ihrer Grenzgebiete." ;
   schema:name "Ergebnisse der Mathematik und ihrer Grenzgebiete ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/132985226#Topic/espaces_localement_convexes> # Espaces localement convexes
    a schema:Intangible ;
   schema:name "Espaces localement convexes"@fr ;
   schema:name "Espaces localement convexes" ;
    .

<http://experiment.worldcat.org/entity/work/data/132985226#Topic/espaces_vectoriels_topologiques> # Espaces vectoriels topologiques
    a schema:Intangible ;
   schema:name "Espaces vectoriels topologiques" ;
    .

<http://experiment.worldcat.org/entity/work/data/132985226#Topic/fonctions_mathematiques> # Fonctions (mathématiques)
    a schema:Intangible ;
   schema:name "Fonctions (mathématiques)" ;
    .

<http://experiment.worldcat.org/entity/work/data/132985226#Topic/locally_convex_spaces> # Locally convex spaces
    a schema:Intangible ;
   schema:name "Locally convex spaces" ;
    .

<http://experiment.worldcat.org/entity/work/data/132985226#Topic/operateurs_lineaires> # Operateurs lineaires
    a schema:Intangible ;
   schema:name "Operateurs lineaires"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/132985226#Topic/produits_tensoriels> # Produits tensoriels
    a schema:Intangible ;
   schema:name "Produits tensoriels"@fr ;
    .

<http://viaf.org/viaf/37008153> # William H Ruckle
    a schema:Person ;
   schema:familyName "Ruckle" ;
   schema:givenName "William H." ;
   schema:name "William H Ruckle" ;
    .

<http://viaf.org/viaf/61706967> # Albrecht Pietsch
    a schema:Person ;
   schema:familyName "Pietsch" ;
   schema:givenName "Albrecht" ;
   schema:name "Albrecht Pietsch" ;
    .

<http://worldcat.org/isbn/9780387056449>
    a schema:ProductModel ;
   schema:description "New York" ;
   schema:isbn "0387056440" ;
   schema:isbn "9780387056449" ;
    .

<http://worldcat.org/isbn/9783540056447>
    a schema:ProductModel ;
   schema:description "Berlin" ;
   schema:isbn "3540056440" ;
   schema:isbn "9783540056447" ;
    .

<http://www.worldcat.org/title/-/oclc/489633868#CreativeWork/unidentifiedOriginalWork> # Nukleare lokalkonvexe Räume
    a schema:CreativeWork ;
   schema:inLanguage "de" ;
   schema:name "Nukleare lokalkonvexe Räume" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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