The Resource Positive Operators, by Charalambos D. Aliprantis, Owen Burkinshaw, (electronic resource)

Positive Operators, by Charalambos D. Aliprantis, Owen Burkinshaw, (electronic resource)

Label
Positive Operators
Title
Positive Operators
Statement of responsibility
by Charalambos D. Aliprantis, Owen Burkinshaw
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
Reprinted by popular demand, this monograph presents a comprehensive study of positive operators between Riesz spaces and Banach lattices. Since the first publication of this book, (Academic Press, 1985), the subject of positive operators and Riesz spaces has found many applications in several disciplines, including social sciences and engineering. It is well known that many linear operators between Banach spaces arising in classical analysis are in fact positive operators. Therefore we study here positive operators in the setting of Riesz spaces and Banach lattices and from both the algebraic and topological points of view. Special emphasis is given to the compactness properties of positive operators and their relations to the order structures of the spaces the operators are acting upon. In order to make the book as self-sufficient as possible, some basic results from the theory of Riesz spaces and Banach lattices are included with proofs where necessary. However, familiarity with the elementary concepts of real analysis and functional analysis is assumed. The book is divided into five chapters, each consisting of nineteen sections all ending with exercises designed to supplement and illustrate the material
Member of
http://library.link/vocab/creatorName
Aliprantis, Charalambos D
Image bit depth
0
LC call number
QA76.9.M35
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Burkinshaw, Owen.
  • SpringerLink
http://library.link/vocab/subjectName
  • Computer science
  • Global analysis (Mathematics)
  • Mathematics
  • Computer Science
  • Mathematics of Computing
  • Analysis
  • Applications of Mathematics
  • Game Theory, Economics, Social and Behav. Sciences
Label
Positive Operators, by Charalambos D. Aliprantis, Owen Burkinshaw, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
The Order Structure of Positive Operators -- Components, Homomorphisms, and Orthomorphisms -- Topological Considerations -- Banach Lattices -- Compactness Properties of Positive Operators -- Micromechanics and multiscale mechanics of carbon nanotubes-reinforced composites -- Multi-scale analytical methods for complex flows in process engineering: Retrospect and prospect -- Multiscaling effects in low alloy TRIP steels -- Ductile Cr-Alloys with solute and precipitate softening -- A multi-scale approach to crack growth -- Continuum-based and cluster models for nanomaterials -- Segmented multiscale approach by microscoping and telescoping in material science -- Mode I segmented crack model: Macro/symmetry, micro/ anti-symmetry and dislocation/skew-symmetry -- Tensegrity architecture and the mammalian cell cytoskeleton -- Mode II segmented crack model: Macro/skew-symmetry micro/anti-symmetry and dislocation/skew-symmetry -- Microstructure and microhardness in surface-nanocrystalline Al-alloy material -- Grain boundary effects on fatigue damage and material properties: Macro- and micro-considerations -- Coupling and communicating between atomistic and continuum simulation methodologies
Dimensions
unknown
Extent
XIX, 376 p.
File format
multiple file formats
Form of item
electronic
Isbn
9781402050084
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4020-5008-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4020-5008-4
Label
Positive Operators, by Charalambos D. Aliprantis, Owen Burkinshaw, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
The Order Structure of Positive Operators -- Components, Homomorphisms, and Orthomorphisms -- Topological Considerations -- Banach Lattices -- Compactness Properties of Positive Operators -- Micromechanics and multiscale mechanics of carbon nanotubes-reinforced composites -- Multi-scale analytical methods for complex flows in process engineering: Retrospect and prospect -- Multiscaling effects in low alloy TRIP steels -- Ductile Cr-Alloys with solute and precipitate softening -- A multi-scale approach to crack growth -- Continuum-based and cluster models for nanomaterials -- Segmented multiscale approach by microscoping and telescoping in material science -- Mode I segmented crack model: Macro/symmetry, micro/ anti-symmetry and dislocation/skew-symmetry -- Tensegrity architecture and the mammalian cell cytoskeleton -- Mode II segmented crack model: Macro/skew-symmetry micro/anti-symmetry and dislocation/skew-symmetry -- Microstructure and microhardness in surface-nanocrystalline Al-alloy material -- Grain boundary effects on fatigue damage and material properties: Macro- and micro-considerations -- Coupling and communicating between atomistic and continuum simulation methodologies
Dimensions
unknown
Extent
XIX, 376 p.
File format
multiple file formats
Form of item
electronic
Isbn
9781402050084
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4020-5008-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4020-5008-4

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