Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

AMS Home | AMS Bookstore | Customer Services
Mobile Device Pairing

How to Order

For AMS eBook frontlist subscriptions or backfile collection purchases:

   1a. To purchase any ebook backfile or to subscibe to the current year of Contemporary Mathematics, please download this required license agreement,

   1b. To subscribe to the current year of Memoirs of the AMS, please download this required license agreement.

   2. Complete and sign the license agreement.

   3. Email, fax, or send via postal mail to:

Customer Services
American Mathematical Society
201 Charles Street Providence, RI 02904-2294  USA
Phone: 1-800-321-4AMS (4267)
Fax: 1-401-455-4046
Email: cust-serv@ams.org

Visit the AMS Bookstore for individual volume purchases.
 

Powered by MathJax

Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices


About this Title

Michael Cwikel, Per G. Nilsson and Gideon Schechtman

Publication: Memoirs of the American Mathematical Society
Publication Year 2003: Volume 165, Number 787
ISBNs: 978-0-8218-3382-7 (print); 978-1-4704-0385-0 (online)
DOI: http://dx.doi.org/10.1090/memo/0787
MathSciNet review: 1996919
MSC (2000): Primary 46B70; Secondary 46B42, 46E30, 46M35

View full volume PDF

Read more about this volume

View other years and numbers:

Table of Contents


Chapters

  • Interpolation of weighted Banach lattices
  • 0. Introduction
  • 1. Definitions, terminology and preliminary results
  • 2. The main results
  • 3. A uniqueness theorem
  • 4. Two properties of the -functional for a couple of Banach lattices
  • 5. Characterizations of couples which are uniformly Calderón-Mityagin for all weights
  • 6. Some uniform boundedness principles for interpolation of Banach lattices
  • 7. Appendix: Lozanovskii's formula for general Banach lattices of measurable functions
  • A characterization of relatively decomposable Banach lattices
  • 1. Introduction
  • 2. Equal norm upper and lower -estimates and some other preliminary results
  • 3. Completion of the proof of the main theorem
  • 4. Application to the problem of characterizing interpolation spaces