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  • Book
  • © 1981

Geometry and Probability in Banach Spaces

Authors:

  1. Laurent Schwartz
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    You can also search for this author in PubMed   Google Scholar

  2. Paul R. Chernoff
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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 852)

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Table of contents (19 chapters)

  1. Front Matter

    Pages I-X
    PDF

  2. Type and cotype for a Banach space p-summing maps

    • Laurent Schwartz, Paul R. Chernoff
    Pages 1-5

  3. Pietsch factorization theorem

    • Laurent Schwartz, Paul R. Chernoff
    Pages 5-9

  4. Completely summing maps. Hilbert-Schmidt and nuclear maps

    • Laurent Schwartz, Paul R. Chernoff
    Pages 9-15

  5. p-integral maps

    • Laurent Schwartz, Paul R. Chernoff
    Pages 15-17

  6. Completely summing maps: Six equivalent properties. p-Radonifying maps

    • Laurent Schwartz, Paul R. Chernoff
    Pages 18-25

  7. Radonification Theorem

    • Laurent Schwartz, Paul R. Chernoff
    Pages 25-29

  8. p-Gauss laws

    • Laurent Schwartz, Paul R. Chernoff
    Pages 29-32

  9. Proof of the Pietsch conjecture

    • Laurent Schwartz, Paul R. Chernoff
    Pages 32-38

  10. p-Pietsch spaces. Application: Brownian motion

    • Laurent Schwartz, Paul R. Chernoff
    Pages 38-41

  11. More on cylindrical measures and stochastic processes

    • Laurent Schwartz, Paul R. Chernoff
    Pages 42-45

  12. Kahane inequality. The case of Lp. Z-type

    • Laurent Schwartz, Paul R. Chernoff
    Pages 46-51

  14. q-factorization, Maurey's theorem Grothendieck factorization theorem

    • Laurent Schwartz, Paul R. Chernoff
    Pages 56-61

  15. Equivalent properties, summing vs. factorization

    • Laurent Schwartz, Paul R. Chernoff
    Pages 61-67

  16. Non-existence of (2+É›)-Pietsch spaces, Ultrapowers

    • Laurent Schwartz, Paul R. Chernoff
    Pages 67-72
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Keywords

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Bibliographic Information

  • Book Title: Geometry and Probability in Banach Spaces

  • Authors: Laurent Schwartz, Paul R. Chernoff

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0096723

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1981

  • Softcover ISBN: 978-3-540-10691-3Published: 01 April 1981

  • eBook ISBN: 978-3-540-38617-9Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 108

  • Topics: Probability Theory and Stochastic Processes, Geometry

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Buy it now

eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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