skip to content
Banach Lattices and Positive Operators Preview this item
ClosePreview this item
Checking...

Banach Lattices and Positive Operators

Author: Helmut H Schaefer
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1974.
Series: Die Grundlehren der mathematischen Wissenschaften, 215.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Rating:

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

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

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

Details

Genre/Form: Electronic books
Additional Physical Format: Printed edition
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Helmut H Schaefer
ISBN: 9783642659720 3642659721 9783642659706 3642659705
OCLC Number: 851818014
Description: 1 online resource (volumes).
Contents: I. Positive Matrices.- 1. Linear Operators on ?n.- 2. Positive Matrices.- 3. Mean Ergodicity.- 4. Stochastic Matrices.- 5. Doubly Stochastic Matrices.- 6. Irreducible Positive Matrices.- 7. Primitive Matrices.- 8. Invariant Ideals.- 9. Markov Chains.- 10. Bounds for Eigenvalues.- Notes.- Exercises.- II. Banach Lattices.- 1. Vector Lattices over the Real Field.- 2. Ideals, Bands, and Projections.- 3. Maximal and Minimal Ideals. Vector Lattices of Finite Dimension.- 4. Duality of Vector Lattices.- 5. Normed Vector Lattices.- 6. Quasi-Interior Positive Elements.- 7. Abstract M-Spaces.- 8. Abstract L-Spaces.- 9. Duality of AM- and AL-Spaces. The Dunford-Pettis Property.- 10. Weak Convergence of Measures.- 11. Complexification.- Notes.- Exercises.- III. Ideal and Operator Theory.- 1. The Lattice of Closed Ideals.- 2. Prime Ideals.- 3. Valuations.- 4. Compact Spaces of Valuations.- 5. Representation by Continuous Functions.- 6. The Stone Approximation Theorem.- 7. Mean Ergodic Semi-Groups of Operators.- 8. Operator Invariant Ideals.- 9. Homomorphisms of Vector Lattices.- 10. Irreducible Groups of Positive Operators. The Halmos-von Neumann Theorem.- 11. Positive Projections.- Notes.- Exercises.- IV. Lattices of Operators.- 1. The Modulus of a Linear Operator.- 2. Preliminaries on Tensor Products. New Characterization of AM- and AL-Spaces.- 3. Cone Absolutely Summing and Majorizing Maps.- 4. Banach Lattices of Operators.- 5. Integral Linear Mappings.- 6. Hilbert-Schmidt Operators and Hilbert Lattices.- 7. Tensor Products of Banach Lattices.- 8. Banach Lattices of Compact Maps. Examples.- 9. Operators Defined by Measurable Kernels.- 10. Compactness of Kernel Operators.- Notes.- Exercises.- V. Applications.- 1. An Imbedding Procedure.- 2. Approximation of Lattice Homomorphisms (Korovkin Theory).- 3. Banach Lattices and Cyclic Banach Spaces.- 4. The Peripheral Spectrum of Positive Operators.- 5. The Peripheral point Spectrum of Irreducible Positive Operators.- 6. Topological Nilpotency of Irreducible Positive Operators.- 7. Application to Non-Positive Operators.- 8. Mean Ergodicity of Order Contractive Semi-Groups. The Little Riesz Theorem.- Notes.- Exercises.- Index of Symbols.
Series Title: Die Grundlehren der mathematischen Wissenschaften, 215.
Responsibility: by Helmut H. Schaefer.
More information:

Reviews

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

Tags

Be the first.

Similar Items

Related Subjects:(1)

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/851818014> # Banach Lattices and Positive Operators
    a schema:Book, schema:MediaObject, schema:CreativeWork ;
    library:oclcnum "851818014" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/536266#Place/berlin_heidelberg> ; # Berlin, Heidelberg
    schema:about <http://id.worldcat.org/fast/1012163> ; # Mathematics
    schema:about <http://dewey.info/class/510/e23/> ;
    schema:bookFormat schema:EBook ;
    schema:creator <http://viaf.org/viaf/39893848> ; # Helmut H. Schaefer
    schema:datePublished "1974" ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/536266> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/536266#Series/die_grundlehren_der_mathematischen_wissenschaften> ; # Die Grundlehren der mathematischen Wissenschaften ;
    schema:isPartOf <http://worldcat.org/issn/0072-7830> ; # Die Grundlehren der mathematischen Wissenschaften,
    schema:isSimilarTo <http://worldcat.org/entity/work/data/536266#CreativeWork/> ;
    schema:name "Banach Lattices and Positive Operators"@en ;
    schema:productID "851818014" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/851818014#PublicationEvent/berlin_heidelberg_springer_berlin_heidelberg_1974> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/536266#Agent/springer_berlin_heidelberg> ; # Springer Berlin Heidelberg
    schema:url <http://link.springer.com/openurl?genre=book&isbn=978-3-642-65972-0> ;
    schema:url <http://dx.doi.org/10.1007/978-3-642-65970-6> ;
    schema:workExample <http://worldcat.org/isbn/9783642659720> ;
    schema:workExample <http://worldcat.org/isbn/9783642659706> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/851818014> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/536266#Agent/springer_berlin_heidelberg> # Springer Berlin Heidelberg
    a bgn:Agent ;
    schema:name "Springer Berlin Heidelberg" ;
    .

<http://experiment.worldcat.org/entity/work/data/536266#Place/berlin_heidelberg> # Berlin, Heidelberg
    a schema:Place ;
    schema:name "Berlin, Heidelberg" ;
    .

<http://experiment.worldcat.org/entity/work/data/536266#Series/die_grundlehren_der_mathematischen_wissenschaften> # Die Grundlehren der mathematischen Wissenschaften ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/851818014> ; # Banach Lattices and Positive Operators
    schema:name "Die Grundlehren der mathematischen Wissenschaften ;" ;
    .

<http://id.worldcat.org/fast/1012163> # Mathematics
    a schema:Intangible ;
    schema:name "Mathematics"@en ;
    .

<http://viaf.org/viaf/39893848> # Helmut H. Schaefer
    a schema:Person ;
    schema:familyName "Schaefer" ;
    schema:givenName "Helmut H." ;
    schema:name "Helmut H. Schaefer" ;
    .

<http://worldcat.org/entity/work/data/536266#CreativeWork/>
    a schema:CreativeWork ;
    schema:description "Printed edition" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/851818014> ; # Banach Lattices and Positive Operators
    .

<http://worldcat.org/isbn/9783642659706>
    a schema:ProductModel ;
    schema:isbn "3642659705" ;
    schema:isbn "9783642659706" ;
    .

<http://worldcat.org/isbn/9783642659720>
    a schema:ProductModel ;
    schema:isbn "3642659721" ;
    schema:isbn "9783642659720" ;
    .

<http://worldcat.org/issn/0072-7830> # Die Grundlehren der mathematischen Wissenschaften,
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/851818014> ; # Banach Lattices and Positive Operators
    schema:issn "0072-7830" ;
    schema:name "Die Grundlehren der mathematischen Wissenschaften," ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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