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Positive Operators

Authors: Aliprantis, Charalambos D., Burkinshaw, Owen

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Hardcover $129.00
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  • ISBN 978-1-4020-5007-7
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About this book

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.

Table of contents (6 chapters)

  • The Order Structure of Positive Operators

    Aliprantis, Charalambos D. (et al.)

    Pages 1-77

  • Components, Homomorphisms, and Orthomorphisms

    Aliprantis, Charalambos D. (et al.)

    Pages 79-132

  • Micromechanics and multiscale mechanics of carbon nanotubes-reinforced composites

    X. Q. Feng, D. L. Shi, Y. G. Huang, et al.

    Pages 103-139

  • Topological Considerations

    Aliprantis, Charalambos D. (et al.)

    Pages 133-180

  • Banach Lattices

    Aliprantis, Charalambos D. (et al.)

    Pages 181-272

Buy this book

eBook $99.00
price for USA
  • ISBN 978-1-4020-5008-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $129.00
price for USA
  • ISBN 978-1-4020-5007-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-90-481-7253-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Positive Operators
Authors
Copyright
2006
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-5008-4
DOI
10.1007/978-1-4020-5008-4
Hardcover ISBN
978-1-4020-5007-7
Softcover ISBN
978-90-481-7253-5
Edition Number
1
Number of Pages
XX, 376
Additional Information
Originally published by Academic Press, 1985
Topics